125662495480704 has 3456 divisors, whose sum is σ = 497137521254400. Its totient is φ = 30265766608896.

The previous prime is 125662495480699. The next prime is 125662495480751. The reversal of 125662495480704 is 407084594266521.

125662495480704 is a `hidden beast` number, since 1 + 2 + 5 + 6 + 62 + 4 + 95 + 480 + 7 + 0 + 4 = 666.

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 polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 989468468289 + ... + 989468468415.

It is an arithmetic number, because the mean of its divisors is an integer number (143847662400).

Almost surely, 2^{125662495480704} is an apocalyptic number.

125662495480704 is a gapful number since it is divisible by the number (14) 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 125662495480704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248568760627200).

125662495480704 is an abundant number, since it is smaller than the sum of its proper divisors (371475025773696).

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

125662495480704 is a wasteful number, since it uses less digits than its factorization.

125662495480704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 125662495480704 in words is "one hundred twenty-five trillion, six hundred sixty-two billion, four hundred ninety-five million, four hundred eighty thousand, seven hundred four".