9952856975520 has 144 divisors (see below), whose sum is σ = 34009840230912. Its totient is φ = 2650522775040.

The previous prime is 9952856975491. The next prime is 9952856975569. The reversal of 9952856975520 is 255796582599.

9952856975520 is a `hidden beast` number, since 9 + 9 + 5 + 2 + 8 + 5 + 6 + 97 + 5 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3581296 + ... + 5721135.

It is an arithmetic number, because the mean of its divisors is an integer number (236179446048).

Almost surely, 2^{9952856975520} is an apocalyptic number.

9952856975520 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9952856975520 is an abundant number, since it is smaller than the sum of its proper divisors (24056983255392).

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

9952856975520 is a wasteful number, since it uses less digits than its factorization.

9952856975520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9303195 (or 9303184 counting only the distinct ones).

The product of its (nonzero) digits is 612360000, while the sum is 72.

The spelling of 9952856975520 in words is "nine trillion, nine hundred fifty-two billion, eight hundred fifty-six million, nine hundred seventy-five thousand, five hundred twenty".