97680110400 has 252 divisors, whose sum is σ = 351365344512. Its totient is φ = 25733882880.

The previous prime is 97680110377. The next prime is 97680110471. The reversal of 97680110400 is 401108679.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1154337 + ... + 1236063.

Almost surely, 2^97680110400 is an apocalyptic number.

97680110400 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 97680110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175682672256).

97680110400 is an abundant number, since it is smaller than the sum of its proper divisors (253685234112).

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

97680110400 is a wasteful number, since it uses less digits than its factorization.

97680110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81838 (or 81820 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 97680110400 in words is "ninety-seven billion, six hundred eighty million, one hundred ten thousand, four hundred".