16838976000 has 1280 divisors, whose sum is σ = 75008913408. Its totient is φ = 3244032000.

The previous prime is 16838975917. The next prime is 16838976001. The reversal of 16838976000 is 67983861.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×16838976000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (16838976001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 251327967 + ... + 251328033.

Almost surely, 2^16838976000 is an apocalyptic number.

16838976000 is a gapful number since it is divisible by the number (10) 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 16838976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37504456704).

16838976000 is an abundant number, since it is smaller than the sum of its proper divisors (58169937408).

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

16838976000 is a wasteful number, since it uses less digits than its factorization.

16838976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 16838976000 in words is "sixteen billion, eight hundred thirty-eight million, nine hundred seventy-six thousand".