10790707200 has 672 divisors, whose sum is σ = 44140258176. Its totient is φ = 2264924160.

The previous prime is 10790707093. The next prime is 10790707231. The reversal of 10790707200 is 270709701.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×10790707200² (a number of 21 digits) contains 22 as substring.

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, 55910304 + ... + 55910496.

It is an arithmetic number, because the mean of its divisors is an integer number (65684908).

Almost surely, 2^10790707200 is an apocalyptic number.

10790707200 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 10790707200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22070129088).

10790707200 is an abundant number, since it is smaller than the sum of its proper divisors (33349550976).

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

10790707200 is a wasteful number, since it uses less digits than its factorization.

10790707200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 6174, while the sum is 33.

The spelling of 10790707200 in words is "ten billion, seven hundred ninety million, seven hundred seven thousand, two hundred".