977118579000 has 512 divisors, whose sum is σ = 3501472665600. Its totient is φ = 251921318400.

The previous prime is 977118578999. The next prime is 977118579029. The reversal of 977118579000 is 975811779.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 105322362 + ... + 105331638.

It is an arithmetic number, because the mean of its divisors is an integer number (6838813800).

Almost surely, 2^977118579000 is an apocalyptic number.

977118579000 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 977118579000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1750736332800).

977118579000 is an abundant number, since it is smaller than the sum of its proper divisors (2524354086600).

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

977118579000 is a wasteful number, since it uses less digits than its factorization.

977118579000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9437 (or 9417 counting only the distinct ones).

The product of its (nonzero) digits is 1111320, while the sum is 54.

The spelling of 977118579000 in words is "nine hundred seventy-seven billion, one hundred eighteen million, five hundred seventy-nine thousand".