16804051510400 has 384 divisors, whose sum is σ = 51980472144000. Its totient is φ = 5214737203200.

The previous prime is 16804051510399. The next prime is 16804051510453. The reversal of 16804051510400 is 401515040861.

It is a super-2 number, since 2×16804051510400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56276696 + ... + 56574504.

It is an arithmetic number, because the mean of its divisors is an integer number (135365812875).

Almost surely, 2^{16804051510400} is an apocalyptic number.

16804051510400 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 16804051510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25990236072000).

16804051510400 is an abundant number, since it is smaller than the sum of its proper divisors (35176420633600).

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

16804051510400 is a wasteful number, since it uses less digits than its factorization.

16804051510400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298080 (or 298063 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 35.

The spelling of 16804051510400 in words is "sixteen trillion, eight hundred four billion, fifty-one million, five hundred ten thousand, four hundred".