125649867863520 has 3072 divisors, whose sum is σ = 605275827609600. Its totient is φ = 23501843988480.

The previous prime is 125649867863519. The next prime is 125649867863587. The reversal of 125649867863520 is 25368768946521.

125649867863520 is a `hidden beast` number, since 1 + 2 + 5 + 6 + 4 + 98 + 6 + 7 + 8 + 6 + 3 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 39649688496 + ... + 39649691664.

It is an arithmetic number, because the mean of its divisors is an integer number (197029891800).

It is a 1-persistent number, because it is pandigital, but 2⋅125649867863520 = 251299735727040 is not.

Almost surely, 2^{125649867863520} is an apocalyptic number.

125649867863520 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 125649867863520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302637913804800).

125649867863520 is an abundant number, since it is smaller than the sum of its proper divisors (479625959746080).

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

125649867863520 is a wasteful number, since it uses less digits than its factorization.

125649867863520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3450 (or 3436 counting only the distinct ones).

The product of its (nonzero) digits is 1045094400, while the sum is 72.

The spelling of 125649867863520 in words is "one hundred twenty-five trillion, six hundred forty-nine billion, eight hundred sixty-seven million, eight hundred sixty-three thousand, five hundred twenty".