97253556480 has 432 divisors, whose sum is σ = 357298591104. Its totient is φ = 24339087360.

The previous prime is 97253556451. The next prime is 97253556511. The reversal of 97253556480 is 8465535279.

97253556480 is a `hidden beast` number, since 9 + 7 + 2 + 5 + 3 + 556 + 4 + 80 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123574647 + ... + 123575433.

It is an arithmetic number, because the mean of its divisors is an integer number (827080072).

Almost surely, 2^97253556480 is an apocalyptic number.

97253556480 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 97253556480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178649295552).

97253556480 is an abundant number, since it is smaller than the sum of its proper divisors (260045034624).

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

97253556480 is a wasteful number, since it uses less digits than its factorization.

97253556480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 97253556480 in words is "ninety-seven billion, two hundred fifty-three million, five hundred fifty-six thousand, four hundred eighty".