10624810820 has 48 divisors (see below), whose sum is σ = 24078044928. Its totient is φ = 3914904960.

The previous prime is 10624810799. The next prime is 10624810871. The reversal of 10624810820 is 2801842601.

It is a happy number.

It is a super-2 number, since 2×10624810820² (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 15 ways as a sum of consecutive naturals, for example, 84665 + ... + 168575.

It is an arithmetic number, because the mean of its divisors is an integer number (501625936).

Almost surely, 2^10624810820 is an apocalyptic number.

10624810820 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 10624810820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12039022464).

10624810820 is an abundant number, since it is smaller than the sum of its proper divisors (13453234108).

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

10624810820 is a wasteful number, since it uses less digits than its factorization.

10624810820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84420 (or 84418 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The spelling of 10624810820 in words is "ten billion, six hundred twenty-four million, eight hundred ten thousand, eight hundred twenty".