10575322632 has 256 divisors, whose sum is σ = 35610624000. Its totient is φ = 2840541696.

The previous prime is 10575322601. The next prime is 10575322633. The reversal of 10575322632 is 23622357501.

10575322632 is a `hidden beast` number, since 1 + 0 + 575 + 3 + 22 + 63 + 2 = 666.

It is a super-2 number, since 2×10575322632² (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 (10575322633) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3934393 + ... + 3937079.

It is an arithmetic number, because the mean of its divisors is an integer number (139104000).

Almost surely, 2^10575322632 is an apocalyptic number.

10575322632 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 10575322632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17805312000).

10575322632 is an abundant number, since it is smaller than the sum of its proper divisors (25035301368).

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

10575322632 is a wasteful number, since it uses less digits than its factorization.

10575322632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2865 (or 2855 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 10575322632 in words is "ten billion, five hundred seventy-five million, three hundred twenty-two thousand, six hundred thirty-two".