97919942400 has 648 divisors, whose sum is σ = 417533276160. Its totient is φ = 21406556160.

The previous prime is 97919942333. The next prime is 97919942411. The reversal of 97919942400 is 424991979.

97919942400 is a `hidden beast` number, since 9 + 7 + 9 + 199 + 42 + 400 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9268321 + ... + 9278879.

Almost surely, 2^97919942400 is an apocalyptic number.

97919942400 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 97919942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208766638080).

97919942400 is an abundant number, since it is smaller than the sum of its proper divisors (319613333760).

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

97919942400 is a wasteful number, since it uses less digits than its factorization.

97919942400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10621 (or 10599 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 97919942400 in words is "ninety-seven billion, nine hundred nineteen million, nine hundred forty-two thousand, four hundred".