9975532860 has 288 divisors, whose sum is σ = 33177876480. Its totient is φ = 2486994048.

The previous prime is 9975532843. The next prime is 9975532913. The reversal of 9975532860 is 682355799.

9975532860 is a `hidden beast` number, since 9 + 9 + 7 + 553 + 2 + 86 + 0 = 666.

It is a super-2 number, since 2×9975532860² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 9975532797 and 9975532806.

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, 13425649 + ... + 13426391.

It is an arithmetic number, because the mean of its divisors is an integer number (115200960).

Almost surely, 2^9975532860 is an apocalyptic number.

9975532860 is a gapful number since it is divisible by the number (90) 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 9975532860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16588938240).

9975532860 is an abundant number, since it is smaller than the sum of its proper divisors (23202343620).

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

9975532860 is a wasteful number, since it uses less digits than its factorization.

9975532860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The square root of 9975532860 is about 99877.5893781984. The cubic root of 9975532860 is about 2152.6761598716.

The spelling of 9975532860 in words is "nine billion, nine hundred seventy-five million, five hundred thirty-two thousand, eight hundred sixty".