97475788800 has 960 divisors, whose sum is σ = 392331568860. Its totient is φ = 23781703680.

The previous prime is 97475788771. The next prime is 97475788843. The reversal of 97475788800 is 888757479.

97475788800 is a `hidden beast` number, since 9 + 7 + 475 + 7 + 88 + 80 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1445216256 + 96030572544 = 38016^2 + 309888^2 .

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 862617544 + ... + 862617656.

Almost surely, 2^97475788800 is an apocalyptic number.

97475788800 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 97475788800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196165784430).

97475788800 is an abundant number, since it is smaller than the sum of its proper divisors (294855780060).

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

97475788800 is a wasteful number, since it uses less digits than its factorization.

97475788800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 31610880, while the sum is 63.

The spelling of 97475788800 in words is "ninety-seven billion, four hundred seventy-five million, seven hundred eighty-eight thousand, eight hundred".