97892241615504 has 720 divisors, whose sum is σ = 337088964925440. Its totient is φ = 27494074581120.

The previous prime is 97892241615503. The next prime is 97892241615529. The reversal of 97892241615504 is 40551614229879.

97892241615504 is a `hidden beast` number, since 9 + 7 + 8 + 9 + 2 + 2 + 4 + 1 + 615 + 5 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (97892241615503) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3855378649 + ... + 3855404039.

It is an arithmetic number, because the mean of its divisors is an integer number (468179117952).

Almost surely, 2^{97892241615504} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97892241615504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168544482462720).

97892241615504 is an abundant number, since it is smaller than the sum of its proper divisors (239196723309936).

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

97892241615504 is an frugal number, since it uses more digits than its factorization.

97892241615504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25508 (or 25462 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 97892241615504 in words is "ninety-seven trillion, eight hundred ninety-two billion, two hundred forty-one million, six hundred fifteen thousand, five hundred four".