97951334400 has 720 divisors, whose sum is σ = 381769627680. Its totient is φ = 24536678400.

The previous prime is 97951334363. The next prime is 97951334443. The reversal of 97951334400 is 443315979.

97951334400 is a `hidden beast` number, since 9 + 79 + 5 + 133 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 188006140 + ... + 188006660.

It is an arithmetic number, because the mean of its divisors is an integer number (530235594).

Almost surely, 2^97951334400 is an apocalyptic number.

97951334400 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 97951334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190884813840).

97951334400 is an abundant number, since it is smaller than the sum of its proper divisors (283818293280).

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

97951334400 is a wasteful number, since it uses less digits than its factorization.

97951334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 97951334400 in words is "ninety-seven billion, nine hundred fifty-one million, three hundred thirty-four thousand, four hundred".