9957498557760 has 1344 divisors, whose sum is σ = 41075795464704. Its totient is φ = 2274125414400.

The previous prime is 9957498557687. The next prime is 9957498557767. The reversal of 9957498557760 is 677558947599.

9957498557760 is a `hidden beast` number, since 9 + 9 + 5 + 7 + 498 + 5 + 57 + 76 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 9957498557760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9957498557767) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1220128080 + ... + 1220136240.

It is an arithmetic number, because the mean of its divisors is an integer number (30562347816).

Almost surely, 2^{9957498557760} is an apocalyptic number.

9957498557760 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 9957498557760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20537897732352).

9957498557760 is an abundant number, since it is smaller than the sum of its proper divisors (31118296906944).

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

9957498557760 is a wasteful number, since it uses less digits than its factorization.

9957498557760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8294 (or 8272 counting only the distinct ones).

The product of its (nonzero) digits is 6001128000, while the sum is 81.

The spelling of 9957498557760 in words is "nine trillion, nine hundred fifty-seven billion, four hundred ninety-eight million, five hundred fifty-seven thousand, seven hundred sixty".