8977623131400 has 1152 divisors, whose sum is σ = 37241416396800. Its totient is φ = 1764206438400.

The previous prime is 8977623131377. The next prime is 8977623131413. The reversal of 8977623131400 is 41313267798.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5302788954 + ... + 5302790646.

It is an arithmetic number, because the mean of its divisors is an integer number (32327618400).

Almost surely, 2^{8977623131400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8977623131400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18620708198400).

8977623131400 is an abundant number, since it is smaller than the sum of its proper divisors (28263793265400).

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

8977623131400 is a wasteful number, since it uses less digits than its factorization.

8977623131400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2619 (or 2603 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 51.

The spelling of 8977623131400 in words is "eight trillion, nine hundred seventy-seven billion, six hundred twenty-three million, one hundred thirty-one thousand, four hundred".