16101064056 has 384 divisors, whose sum is σ = 54353376000. Its totient is φ = 3919104000.

The previous prime is 16101064051. The next prime is 16101064061. The reversal of 16101064056 is 65046010161.

It is an interprime number because it is at equal distance from previous prime (16101064051) and next prime (16101064061).

It is a super-2 number, since 2×16101064056² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16101064051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26790156 + ... + 26790756.

It is an arithmetic number, because the mean of its divisors is an integer number (141545250).

Almost surely, 2^16101064056 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 16101064056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27176688000).

16101064056 is an abundant number, since it is smaller than the sum of its proper divisors (38252311944).

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

16101064056 is a wasteful number, since it uses less digits than its factorization.

16101064056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 16101064056 in words is "sixteen billion, one hundred one million, sixty-four thousand, fifty-six".