97958984256 has 693 divisors, whose sum is σ = 354572510691. Its totient is φ = 26771399424.

The previous prime is 97958984251. The next prime is 97958984257. The reversal of 97958984256 is 65248985979.

The square root of 97958984256 is 312984.

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

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

Its product of digits (391910400) is a multiple of the sum of its prime divisors (35).

It is not an unprimeable number, because it can be changed into a prime (97958984251) by changing a digit.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 4259086261 + ... + 4259086283.

Almost surely, 2^97958984256 is an apocalyptic number.

97958984256 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

97958984256 is the 312984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97958984256

97958984256 is an abundant number, since it is smaller than the sum of its proper divisors (256613526435).

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

97958984256 is an frugal number, since it uses more digits than its factorization.

97958984256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 35 counting only the distinct ones).

The product of its digits is 391910400, while the sum is 72.

The spelling of 97958984256 in words is "ninety-seven billion, nine hundred fifty-eight million, nine hundred eighty-four thousand, two hundred fifty-six".