10620838800 has 1080 divisors, whose sum is σ = 46681074720. Its totient is φ = 2273356800.

The previous prime is 10620838799. The next prime is 10620838807. The reversal of 10620838800 is 883802601.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×10620838800² (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 not an unprimeable number, because it can be changed into a prime (10620838807) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 461775589 + ... + 461775611.

Almost surely, 2^10620838800 is an apocalyptic number.

10620838800 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 10620838800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23340537360).

10620838800 is an abundant number, since it is smaller than the sum of its proper divisors (36060235920).

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

10620838800 is a wasteful number, since it uses less digits than its factorization.

10620838800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 10620838800 in words is "ten billion, six hundred twenty million, eight hundred thirty-eight thousand, eight hundred".