10631761920 has 1040 divisors, whose sum is σ = 44956794960. Its totient is φ = 2378170368.

The previous prime is 10631761909. The next prime is 10631761963. The reversal of 10631761920 is 2916713601.

10631761920 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 17 + 619 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 119771136 + 10511990784 = 10944^2 + 102528^2 .

It is a tau number, because it is divible by the number of its divisors (1040).

It is a super-2 number, since 2×10631761920² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 366612466 + ... + 366612494.

Almost surely, 2^10631761920 is an apocalyptic number.

10631761920 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 10631761920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22478397480).

10631761920 is an abundant number, since it is smaller than the sum of its proper divisors (34325033040).

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

10631761920 is a wasteful number, since it uses less digits than its factorization.

10631761920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 10631761920 in words is "ten billion, six hundred thirty-one million, seven hundred sixty-one thousand, nine hundred twenty".