97081052774400 has 720 divisors, whose sum is σ = 377653536751680. Its totient is φ = 24365393510400.

The previous prime is 97081052774357. The next prime is 97081052774411. The reversal of 97081052774400 is 447725018079.

97081052774400 is a `hidden beast` number, since 9 + 7 + 0 + 8 + 1 + 0 + 527 + 74 + 40 + 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 (54).

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, 187748215 + ... + 188264585.

It is an arithmetic number, because the mean of its divisors is an integer number (524518801044).

Almost surely, 2^{97081052774400} is an apocalyptic number.

97081052774400 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 97081052774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188826768375840).

97081052774400 is an abundant number, since it is smaller than the sum of its proper divisors (280572483977280).

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

97081052774400 is a wasteful number, since it uses less digits than its factorization.

97081052774400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516435 (or 516398 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 97081052774400 in words is "ninety-seven trillion, eighty-one billion, fifty-two million, seven hundred seventy-four thousand, four hundred".