975898991376 has 135 divisors (see below), whose sum is σ = 2836992816021. Its totient is φ = 325192973184.

The previous prime is 975898991303. The next prime is 975898991393. The reversal of 975898991376 is 673199898579.

The square root of 975898991376 is 987876.

It is a perfect power (a square), and thus also a powerful number.

975898991376 is a `hidden beast` number, since 9 + 7 + 5 + 89 + 89 + 91 + 376 = 666.

It can be written as a sum of positive squares in only one way, i.e., 105186056976 + 870712934400 = 324324^2 + 933120^2 .

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 975898991295 and 975898991304.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 320070300 + ... + 320073348.

Almost surely, 2^975898991376 is an apocalyptic number.

975898991376 is the 987876-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 975898991376

975898991376 is an abundant number, since it is smaller than the sum of its proper divisors (1861093824645).

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

975898991376 is an frugal number, since it uses more digits than its factorization.

975898991376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6130 (or 3054 counting only the distinct ones).

The product of its digits is 1851776640, while the sum is 81.

Multiplying 975898991376 by its sum of digits (81), we get a square (79047818301456 = 8890884²).

975898991376 divided by its sum of digits (81) gives a square (12048135696 = 109764²).

The spelling of 975898991376 in words is "nine hundred seventy-five billion, eight hundred ninety-eight million, nine hundred ninety-one thousand, three hundred seventy-six".