10852621920 has 576 divisors, whose sum is σ = 44595048960. Its totient is φ = 2457713664.

The previous prime is 10852621909. The next prime is 10852621931. The reversal of 10852621920 is 2912625801.

10852621920 is a `hidden beast` number, since 1 + 0 + 8 + 5 + 2 + 621 + 9 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (10852621909) and next prime (10852621931).

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 95 ways as a sum of consecutive naturals, for example, 35350407 + ... + 35350713.

It is an arithmetic number, because the mean of its divisors is an integer number (77421960).

Almost surely, 2^10852621920 is an apocalyptic number.

10852621920 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 10852621920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22297524480).

10852621920 is an abundant number, since it is smaller than the sum of its proper divisors (33742427040).

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

10852621920 is a wasteful number, since it uses less digits than its factorization.

10852621920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 10852621920 in words is "ten billion, eight hundred fifty-two million, six hundred twenty-one thousand, nine hundred twenty".