125685553824 has 480 divisors, whose sum is σ = 408454244352. Its totient is φ = 37739520000.

The previous prime is 125685553801. The next prime is 125685553837. The reversal of 125685553824 is 428355586521.

125685553824 is a `hidden beast` number, since 1 + 2 + 5 + 6 + 8 + 5 + 553 + 82 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 79 ways as a sum of consecutive naturals, for example, 137963929 + ... + 137964839.

Almost surely, 2^125685553824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125685553824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204227122176).

125685553824 is an abundant number, since it is smaller than the sum of its proper divisors (282768690528).

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

125685553824 is a wasteful number, since it uses less digits than its factorization.

125685553824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1065 counting only the distinct ones).

The product of its digits is 11520000, while the sum is 54.

The spelling of 125685553824 in words is "one hundred twenty-five billion, six hundred eighty-five million, five hundred fifty-three thousand, eight hundred twenty-four".