16000355876544 has 672 divisors, whose sum is σ = 52035790060800. Its totient is φ = 4666416168960.

The previous prime is 16000355876501. The next prime is 16000355876567. The reversal of 16000355876544 is 44567855300061.

It is a happy number.

16000355876544 is a `hidden beast` number, since 1 + 6 + 0 + 0 + 0 + 3 + 5 + 587 + 6 + 54 + 4 = 666.

It is a super-2 number, since 2×16000355876544² (a number of 27 digits) contains 22 as substring.

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, 3105053872 + ... + 3105059024.

It is an arithmetic number, because the mean of its divisors is an integer number (77434211400).

Almost surely, 2^{16000355876544} 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 16000355876544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26017895030400).

16000355876544 is an abundant number, since it is smaller than the sum of its proper divisors (36035434184256).

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

16000355876544 is a wasteful number, since it uses less digits than its factorization.

16000355876544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5473 (or 5460 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 16000355876544 in words is "sixteen trillion, three hundred fifty-five million, eight hundred seventy-six thousand, five hundred forty-four".