97124128479360 has 768 divisors, whose sum is σ = 363568781721600. Its totient is φ = 24746924666880.

The previous prime is 97124128479359. The next prime is 97124128479397. The reversal of 97124128479360 is 6397482142179.

97124128479360 is a `hidden beast` number, since 9 + 7 + 1 + 2 + 4 + 128 + 479 + 36 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 380740977 + ... + 380995983.

It is an arithmetic number, because the mean of its divisors is an integer number (473396851200).

Almost surely, 2^{97124128479360} is an apocalyptic number.

97124128479360 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 97124128479360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181784390860800).

97124128479360 is an abundant number, since it is smaller than the sum of its proper divisors (266444653242240).

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

97124128479360 is a wasteful number, since it uses less digits than its factorization.

97124128479360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255151 (or 255127 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 97124128479360 in words is "ninety-seven trillion, one hundred twenty-four billion, one hundred twenty-eight million, four hundred seventy-nine thousand, three hundred sixty".