10957669632 has 360 divisors, whose sum is σ = 40220818176. Its totient is φ = 2889437184.

The previous prime is 10957669631. The next prime is 10957669687. The reversal of 10957669632 is 23696675901.

10957669632 is a `hidden beast` number, since 1 + 0 + 9 + 576 + 6 + 9 + 63 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10957669631) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1884073 + ... + 1889879.

Almost surely, 2^10957669632 is an apocalyptic number.

10957669632 is a gapful number since it is divisible by the number (12) 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 10957669632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20110409088).

10957669632 is an abundant number, since it is smaller than the sum of its proper divisors (29263148544).

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

10957669632 is an equidigital number, since it uses as much as digits as its factorization.

10957669632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5855 (or 5832 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 10957669632 in words is "ten billion, nine hundred fifty-seven million, six hundred sixty-nine thousand, six hundred thirty-two".