10510090800 has 480 divisors, whose sum is σ = 38081062656. Its totient is φ = 2456064000.

The previous prime is 10510090783. The next prime is 10510090813. The reversal of 10510090800 is 809001501.

It is a super-2 number, since 2×10510090800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 58066710 + ... + 58066890.

Almost surely, 2^10510090800 is an apocalyptic number.

10510090800 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 10510090800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19040531328).

10510090800 is an abundant number, since it is smaller than the sum of its proper divisors (27570971856).

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

10510090800 is a wasteful number, since it uses less digits than its factorization.

10510090800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 24.

The spelling of 10510090800 in words is "ten billion, five hundred ten million, ninety thousand, eight hundred".