977216139504 has 400 divisors, whose sum is σ = 3150119808000. Its totient is φ = 289944645120.

The previous prime is 977216139409. The next prime is 977216139509. The reversal of 977216139504 is 405931612779.

977216139504 is a `hidden beast` number, since 9 + 7 + 72 + 1 + 61 + 3 + 9 + 504 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (977216139509) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 488851497 + ... + 488853495.

It is an arithmetic number, because the mean of its divisors is an integer number (7875299520).

Almost surely, 2^977216139504 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 977216139504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1575059904000).

977216139504 is an abundant number, since it is smaller than the sum of its proper divisors (2172903668496).

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

977216139504 is a wasteful number, since it uses less digits than its factorization.

977216139504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2730 (or 2715 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 977216139504 in words is "nine hundred seventy-seven billion, two hundred sixteen million, one hundred thirty-nine thousand, five hundred four".