125655062616 has 128 divisors (see below), whose sum is σ = 370391616000. Its totient is φ = 39384791424.

The previous prime is 125655062609. The next prime is 125655062623. The reversal of 125655062616 is 616260556521.

125655062616 is a `hidden beast` number, since 1 + 2 + 5 + 6 + 5 + 5 + 0 + 626 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (125655062609) and next prime (125655062623).

It is a super-2 number, since 2×125655062616² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78766 + ... + 507458.

It is an arithmetic number, because the mean of its divisors is an integer number (2893684500).

Almost surely, 2^125655062616 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 125655062616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185195808000).

125655062616 is an abundant number, since it is smaller than the sum of its proper divisors (244736553384).

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

125655062616 is a wasteful number, since it uses less digits than its factorization.

125655062616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428790 (or 428780 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 125655062616 in words is "one hundred twenty-five billion, six hundred fifty-five million, sixty-two thousand, six hundred sixteen".