977157978616512 has 1120 divisors, whose sum is σ = 3691030464000000. Its totient is φ = 248250462197760.

The previous prime is 977157978616487. The next prime is 977157978616531. The reversal of 977157978616512 is 215616879751779.

977157978616512 is a `hidden beast` number, since 9 + 7 + 7 + 1 + 5 + 7 + 9 + 7 + 86 + 16 + 512 = 666.

It is a super-2 number, since 2×977157978616512² (a number of 31 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4686527239 + ... + 4686735737.

Almost surely, 2^{977157978616512} 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 977157978616512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1845515232000000).

977157978616512 is an abundant number, since it is smaller than the sum of its proper divisors (2713872485383488).

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

977157978616512 is a wasteful number, since it uses less digits than its factorization.

977157978616512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208799 (or 208780 counting only the distinct ones).

The product of its digits is 2800526400, while the sum is 81.

The spelling of 977157978616512 in words is "nine hundred seventy-seven trillion, one hundred fifty-seven billion, nine hundred seventy-eight million, six hundred sixteen thousand, five hundred twelve".