9957081600 has 480 divisors, whose sum is σ = 37385821440. Its totient is φ = 2594488320.

The previous prime is 9957081587. The next prime is 9957081623. The reversal of 9957081600 is 61807599.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16242894 + ... + 16243506.

It is an arithmetic number, because the mean of its divisors is an integer number (77887128).

Almost surely, 2^9957081600 is an apocalyptic number.

9957081600 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 9957081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18692910720).

9957081600 is an abundant number, since it is smaller than the sum of its proper divisors (27428739840).

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

9957081600 is a wasteful number, since it uses less digits than its factorization.

9957081600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 9957081600 is about 99785.1772559432. The cubic root of 9957081600 is about 2151.3481071113.

The spelling of 9957081600 in words is "nine billion, nine hundred fifty-seven million, eighty-one thousand, six hundred".