16625352877056 has 1056 divisors, whose sum is σ = 61440498662400. Its totient is φ = 4204982108160.

The previous prime is 16625352877037. The next prime is 16625352877061. The reversal of 16625352877056 is 65077825352661.

16625352877056 is a `hidden beast` number, since 1 + 6 + 6 + 2 + 53 + 528 + 7 + 7 + 0 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 16625352876984 and 16625352877002.

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, 4563641571 + ... + 4563645213.

It is an arithmetic number, because the mean of its divisors is an integer number (58182290400).

Almost surely, 2^{16625352877056} is an apocalyptic number.

16625352877056 is a gapful number since it is divisible by the number (16) 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 16625352877056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30720249331200).

16625352877056 is an abundant number, since it is smaller than the sum of its proper divisors (44815145785344).

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

16625352877056 is a wasteful number, since it uses less digits than its factorization.

16625352877056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3855 (or 3834 counting only the distinct ones).

The product of its (nonzero) digits is 127008000, while the sum is 63.

The spelling of 16625352877056 in words is "sixteen trillion, six hundred twenty-five billion, three hundred fifty-two million, eight hundred seventy-seven thousand, fifty-six".