10493416800 has 108 divisors (see below), whose sum is σ = 37002436380. Its totient is φ = 2798242560.

The previous prime is 10493416727. The next prime is 10493416823. The reversal of 10493416800 is 861439401.

10493416800 is a `hidden beast` number, since 1 + 0 + 493 + 4 + 168 + 0 + 0 = 666.

It is a super-2 number, since 2×10493416800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 721510 + ... + 735909.

Almost surely, 2^10493416800 is an apocalyptic number.

10493416800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10493416800 is an abundant number, since it is smaller than the sum of its proper divisors (26509019580).

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

10493416800 is a wasteful number, since it uses less digits than its factorization.

10493416800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1457445 (or 1457429 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 10493416800 in words is "ten billion, four hundred ninety-three million, four hundred sixteen thousand, eight hundred".