977541370542 has 432 divisors, whose sum is σ = 2592590407680. Its totient is φ = 275069662560.

The previous prime is 977541370541. The next prime is 977541370549. The reversal of 977541370542 is 245073145779.

977541370542 is a `hidden beast` number, since 97 + 7 + 5 + 4 + 1 + 3 + 7 + 0 + 542 = 666.

It is a super-2 number, since 2×977541370542² (a number of 25 digits) contains 22 as substring.

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 (977541370541) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 7697176083 + ... + 7697176209.

Almost surely, 2^977541370542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 977541370542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296295203840).

977541370542 is an abundant number, since it is smaller than the sum of its proper divisors (1615049037138).

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

977541370542 is a wasteful number, since it uses less digits than its factorization.

977541370542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 7408800, while the sum is 54.

The spelling of 977541370542 in words is "nine hundred seventy-seven billion, five hundred forty-one million, three hundred seventy thousand, five hundred forty-two".