125619688535040 has 3168 divisors, whose sum is σ = 550426181760000. Its totient is φ = 26331003224064.

The previous prime is 125619688535027. The next prime is 125619688535053. The reversal of 125619688535040 is 40535886916521.

125619688535040 is a `hidden beast` number, since 1 + 2 + 5 + 6 + 1 + 96 + 8 + 8 + 535 + 0 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (125619688535027) and next prime (125619688535053).

It is a super-3 number, since 3×125619688535040³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 359941800786 + ... + 359941801134.

Almost surely, 2^{125619688535040} is an apocalyptic number.

125619688535040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125619688535040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275213090880000).

125619688535040 is an abundant number, since it is smaller than the sum of its proper divisors (424806493224960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

125619688535040 is a wasteful number, since it uses less digits than its factorization.

125619688535040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 62208000, while the sum is 63.

The spelling of 125619688535040 in words is "one hundred twenty-five trillion, six hundred nineteen billion, six hundred eighty-eight million, five hundred thirty-five thousand, forty".