125086965552 has 160 divisors (see below), whose sum is σ = 361589088960. Its totient is φ = 41401221120.

The previous prime is 125086965541. The next prime is 125086965571. The reversal of 125086965552 is 255569680521.

It is a happy number.

125086965552 is a `hidden beast` number, since 1 + 2 + 5 + 0 + 86 + 9 + 6 + 5 + 552 = 666.

125086965552 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54550518 + ... + 54552810.

It is an arithmetic number, because the mean of its divisors is an integer number (2259931806).

Almost surely, 2^125086965552 is an apocalyptic number.

125086965552 is a gapful number since it is divisible by the number (12) 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 125086965552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180794544480).

125086965552 is an abundant number, since it is smaller than the sum of its proper divisors (236502123408).

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

125086965552 is a wasteful number, since it uses less digits than its factorization.

125086965552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3148 (or 3136 counting only the distinct ones).

The product of its (nonzero) digits is 6480000, while the sum is 54.

The spelling of 125086965552 in words is "one hundred twenty-five billion, eighty-six million, nine hundred sixty-five thousand, five hundred fifty-two".