97984881792 has 512 divisors, whose sum is σ = 354010176000. Its totient is φ = 26043088896.

The previous prime is 97984881781. The next prime is 97984881803. The reversal of 97984881792 is 29718848979.

97984881792 is a `hidden beast` number, since 9 + 79 + 8 + 488 + 1 + 79 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (97984881781) and next prime (97984881803).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 97984881792.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36601158 + ... + 36603834.

It is an arithmetic number, because the mean of its divisors is an integer number (691426125).

Almost surely, 2^97984881792 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 97984881792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177005088000).

97984881792 is an abundant number, since it is smaller than the sum of its proper divisors (256025294208).

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

97984881792 is a wasteful number, since it uses less digits than its factorization.

97984881792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2813 (or 2795 counting only the distinct ones).

The product of its digits is 146313216, while the sum is 72.

The spelling of 97984881792 in words is "ninety-seven billion, nine hundred eighty-four million, eight hundred eighty-one thousand, seven hundred ninety-two".