16753080960 has 768 divisors, whose sum is σ = 74850048000. Its totient is φ = 3478671360.

The previous prime is 16753080959. The next prime is 16753080979. The reversal of 16753080960 is 6908035761.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 11974341 + ... + 11975739.

It is an arithmetic number, because the mean of its divisors is an integer number (97461000).

Almost surely, 2^16753080960 is an apocalyptic number.

16753080960 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 16753080960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37425024000).

16753080960 is an abundant number, since it is smaller than the sum of its proper divisors (58096967040).

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

16753080960 is a wasteful number, since it uses less digits than its factorization.

16753080960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1451 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 16753080960 in words is "sixteen billion, seven hundred fifty-three million, eighty thousand, nine hundred sixty".