977540529957792 has 192 divisors, whose sum is σ = 2611549060162560. Its totient is φ = 320082617548800.

The previous prime is 977540529957787. The next prime is 977540529957811. The reversal of 977540529957792 is 297759925045779.

It is a super-3 number, since 3×977540529957792³ (a number of 46 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 977540529957699 and 977540529957708.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44174625384 + ... + 44174647512.

It is an arithmetic number, because the mean of its divisors is an integer number (13601818021680).

Almost surely, 2^{977540529957792} 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 977540529957792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1305774530081280).

977540529957792 is an abundant number, since it is smaller than the sum of its proper divisors (1634008530204768).

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

977540529957792 is a wasteful number, since it uses less digits than its factorization.

977540529957792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31807 (or 31799 counting only the distinct ones).

The product of its (nonzero) digits is 31505922000, while the sum is 87.

The spelling of 977540529957792 in words is "nine hundred seventy-seven trillion, five hundred forty billion, five hundred twenty-nine million, nine hundred fifty-seven thousand, seven hundred ninety-two".