125662375851480 has 1536 divisors, whose sum is σ = 471555302400000. Its totient is φ = 28788707819520.

The previous prime is 125662375851451. The next prime is 125662375851499. The reversal of 125662375851480 is 84158573266521.

125662375851480 is a `hidden beast` number, since 1 + 2 + 5 + 6 + 6 + 2 + 3 + 7 + 585 + 1 + 48 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 251828408271 + ... + 251828408769.

It is an arithmetic number, because the mean of its divisors is an integer number (307002150000).

Almost surely, 2^{125662375851480} is an apocalyptic number.

125662375851480 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 125662375851480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235777651200000).

125662375851480 is an abundant number, since it is smaller than the sum of its proper divisors (345892926548520).

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

125662375851480 is a wasteful number, since it uses less digits than its factorization.

125662375851480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 96768000, while the sum is 63.

The spelling of 125662375851480 in words is "one hundred twenty-five trillion, six hundred sixty-two billion, three hundred seventy-five million, eight hundred fifty-one thousand, four hundred eighty".