97074028800 has 1296 divisors, whose sum is σ = 424202210432. Its totient is φ = 21499084800.

The previous prime is 97074028783. The next prime is 97074028811. The reversal of 97074028800 is 882047079.

It is a tau number, because it is divible by the number of its divisors (1296).

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 143 ways as a sum of consecutive naturals, for example, 402796680 + ... + 402796920.

Almost surely, 2^97074028800 is an apocalyptic number.

97074028800 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 97074028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212101105216).

97074028800 is an abundant number, since it is smaller than the sum of its proper divisors (327128181632).

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

97074028800 is a wasteful number, since it uses less digits than its factorization.

97074028800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 97074028800 in words is "ninety-seven billion, seventy-four million, twenty-eight thousand, eight hundred".