16101355882752 has 1080 divisors, whose sum is σ = 58887266651136. Its totient is φ = 4354392784896.

The previous prime is 16101355882723. The next prime is 16101355882819. The reversal of 16101355882752 is 25728855310161.

16101355882752 is a `hidden beast` number, since 1 + 6 + 1 + 0 + 1 + 3 + 5 + 588 + 2 + 7 + 52 = 666.

It is a super-2 number, since 2×16101355882752² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2266835233 + ... + 2266842335.

Almost surely, 2^{16101355882752} is an apocalyptic number.

16101355882752 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 16101355882752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29443633325568).

16101355882752 is an abundant number, since it is smaller than the sum of its proper divisors (42785910768384).

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

16101355882752 is an equidigital number, since it uses as much as digits as its factorization.

16101355882752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7265 (or 7235 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 54.

The spelling of 16101355882752 in words is "sixteen trillion, one hundred one billion, three hundred fifty-five million, eight hundred eighty-two thousand, seven hundred fifty-two".