977321180160 has 528 divisors, whose sum is σ = 3655827695520. Its totient is φ = 239981690880.

The previous prime is 977321180149. The next prime is 977321180203. The reversal of 977321180160 is 61081123779.

977321180160 is a `hidden beast` number, since 97 + 7 + 321 + 1 + 80 + 160 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

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 47 ways as a sum of consecutive naturals, for example, 276155671 + ... + 276159209.

It is an arithmetic number, because the mean of its divisors is an integer number (6923916090).

Almost surely, 2^977321180160 is an apocalyptic number.

977321180160 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 977321180160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1827913847760).

977321180160 is an abundant number, since it is smaller than the sum of its proper divisors (2678506515360).

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

977321180160 is a wasteful number, since it uses less digits than its factorization.

977321180160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4044 (or 4023 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

It can be divided in two parts, 977321 and 180160, that added together give a triangular number (1157481 = T₁₅₂₁).

The spelling of 977321180160 in words is "nine hundred seventy-seven billion, three hundred twenty-one million, one hundred eighty thousand, one hundred sixty".