9957533564160 has 2592 divisors, whose sum is σ = 47034786839040. Its totient is φ = 1890050899968.

The previous prime is 9957533564131. The next prime is 9957533564203. The reversal of 9957533564160 is 614653357599.

9957533564160 is a `hidden beast` number, since 9 + 9 + 5 + 7 + 5 + 3 + 3 + 564 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6968182326 + ... + 6968183754.

Almost surely, 2^{9957533564160} is an apocalyptic number.

9957533564160 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 9957533564160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23517393419520).

9957533564160 is an abundant number, since it is smaller than the sum of its proper divisors (37077253274880).

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

9957533564160 is a wasteful number, since it uses less digits than its factorization.

9957533564160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1533 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 91854000, while the sum is 63.

The spelling of 9957533564160 in words is "nine trillion, nine hundred fifty-seven billion, five hundred thirty-three million, five hundred sixty-four thousand, one hundred sixty".