10516684400 has 60 divisors (see below), whose sum is σ = 25448241000. Its totient is φ = 4176387840.

The previous prime is 10516684397. The next prime is 10516684417. The reversal of 10516684400 is 448661501.

It is a super-2 number, since 2×10516684400² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38975 + ... + 150174.

It is an arithmetic number, because the mean of its divisors is an integer number (424137350).

Almost surely, 2^10516684400 is an apocalyptic number.

10516684400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10516684400 is an abundant number, since it is smaller than the sum of its proper divisors (14931556600).

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

10516684400 is a wasteful number, since it uses less digits than its factorization.

10516684400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189306 (or 189295 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The spelling of 10516684400 in words is "ten billion, five hundred sixteen million, six hundred eighty-four thousand, four hundred".