975922421760 has 2240 divisors, whose sum is σ = 4388051029824. Its totient is φ = 205541867520.

The previous prime is 975922421731. The next prime is 975922421767. The reversal of 975922421760 is 67124229579.

975922421760 is a `hidden beast` number, since 9 + 7 + 592 + 2 + 42 + 1 + 7 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 975922421697 and 975922421706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (975922421767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 57407201272 + ... + 57407201288.

Almost surely, 2^975922421760 is an apocalyptic number.

975922421760 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 975922421760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2194025514912).

975922421760 is an abundant number, since it is smaller than the sum of its proper divisors (3412128608064).

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

975922421760 is a wasteful number, since it uses less digits than its factorization.

975922421760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 975922421760 in words is "nine hundred seventy-five billion, nine hundred twenty-two million, four hundred twenty-one thousand, seven hundred sixty".