97830252748800 has 4032 divisors, whose sum is σ = 439691577937920. Its totient is φ = 21116878848000.

The previous prime is 97830252748747. The next prime is 97830252748819. The reversal of 97830252748800 is 884725203879.

97830252748800 is a `hidden beast` number, since 9 + 78 + 30 + 2 + 52 + 7 + 488 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 318665318247 + ... + 318665318553.

It is an arithmetic number, because the mean of its divisors is an integer number (109050490560).

Almost surely, 2^{97830252748800} is an apocalyptic number.

97830252748800 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 97830252748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219845788968960).

97830252748800 is an abundant number, since it is smaller than the sum of its proper divisors (341861325189120).

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

97830252748800 is a wasteful number, since it uses less digits than its factorization.

97830252748800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 97830252748800 in words is "ninety-seven trillion, eight hundred thirty billion, two hundred fifty-two million, seven hundred forty-eight thousand, eight hundred".