16125677568 has 1248 divisors, whose sum is σ = 68694312960. Its totient is φ = 3503554560.

The previous prime is 16125677537. The next prime is 16125677597. The reversal of 16125677568 is 86577652161.

It is a happy number.

16125677568 is a `hidden beast` number, since 1 + 6 + 1 + 2 + 5 + 6 + 77 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 701116405 + ... + 701116427.

It is an arithmetic number, because the mean of its divisors is an integer number (55043520).

Almost surely, 2^16125677568 is an apocalyptic number.

16125677568 is a gapful number since it is divisible by the number (18) 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 16125677568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34347156480).

16125677568 is an abundant number, since it is smaller than the sum of its proper divisors (52568635392).

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

16125677568 is a wasteful number, since it uses less digits than its factorization.

16125677568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 78 counting only the distinct ones).

The product of its digits is 4233600, while the sum is 54.

The spelling of 16125677568 in words is "sixteen billion, one hundred twenty-five million, six hundred seventy-seven thousand, five hundred sixty-eight".