16101076992 has 936 divisors, whose sum is σ = 62592738768. Its totient is φ = 3633315840.

The previous prime is 16101076987. The next prime is 16101077023. The reversal of 16101076992 is 29967010161.

16101076992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 947122168 + ... + 947122184.

Almost surely, 2^16101076992 is an apocalyptic number.

16101076992 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 16101076992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31296369384).

16101076992 is an abundant number, since it is smaller than the sum of its proper divisors (46491661776).

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

16101076992 is a wasteful number, since it uses less digits than its factorization.

16101076992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 42.

The spelling of 16101076992 in words is "sixteen billion, one hundred one million, seventy-six thousand, nine hundred ninety-two".