97488878400 has 1176 divisors, whose sum is σ = 390380951520. Its totient is φ = 23872942080.

The previous prime is 97488878393. The next prime is 97488878441. The reversal of 97488878400 is 487888479.

97488878400 is a `hidden beast` number, since 9 + 74 + 88 + 87 + 8 + 400 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1174564759 + ... + 1174564841.

Almost surely, 2^97488878400 is an apocalyptic number.

97488878400 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 97488878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195190475760).

97488878400 is an abundant number, since it is smaller than the sum of its proper divisors (292892073120).

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

97488878400 is a wasteful number, since it uses less digits than its factorization.

97488878400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 63.

The spelling of 97488878400 in words is "ninety-seven billion, four hundred eighty-eight million, eight hundred seventy-eight thousand, four hundred".