97357308480 has 392 divisors, whose sum is σ = 352412256312. Its totient is φ = 25601826816.

The previous prime is 97357308467. The next prime is 97357308481. The reversal of 97357308480 is 8480375379.

97357308480 is a `hidden beast` number, since 97 + 3 + 5 + 73 + 0 + 8 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14579113536 + 82778194944 = 120744^2 + 287712^2 .

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

It is not an unprimeable number, because it can be changed into a prime (97357308481) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 17026582 + ... + 17032298.

Almost surely, 2^97357308480 is an apocalyptic number.

97357308480 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 97357308480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176206128156).

97357308480 is an abundant number, since it is smaller than the sum of its proper divisors (255054947832).

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

97357308480 is an equidigital number, since it uses as much as digits as its factorization.

97357308480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5825 (or 5800 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 97357308480 in words is "ninety-seven billion, three hundred fifty-seven million, three hundred eight thousand, four hundred eighty".