97984598400000 has 2376 divisors, whose sum is σ = 396569993208480. Its totient is φ = 24052101120000.

The previous prime is 97984598399981. The next prime is 97984598400037. The reversal of 97984598400000 is 489548979.

97984598400000 is a `hidden beast` number, since 97 + 98 + 4 + 59 + 8 + 400 + 0 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 272937599821 + ... + 272937600179.

Almost surely, 2^{97984598400000} is an apocalyptic number.

97984598400000 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 97984598400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198284996604240).

97984598400000 is an abundant number, since it is smaller than the sum of its proper divisors (298585394808480).

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

97984598400000 is an frugal number, since it uses more digits than its factorization.

97984598400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 97984598400000 in words is "ninety-seven trillion, nine hundred eighty-four billion, five hundred ninety-eight million, four hundred thousand".