97792282560 has 672 divisors, whose sum is σ = 386444459520. Its totient is φ = 20467261440.

The previous prime is 97792282537. The next prime is 97792282573. The reversal of 97792282560 is 6528229779.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 97792282560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 122700082 + ... + 122700878.

It is an arithmetic number, because the mean of its divisors is an integer number (575066160).

Almost surely, 2^97792282560 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 97792282560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193222229760).

97792282560 is an abundant number, since it is smaller than the sum of its proper divisors (288652176960).

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

97792282560 is a wasteful number, since it uses less digits than its factorization.

97792282560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 57.

The spelling of 97792282560 in words is "ninety-seven billion, seven hundred ninety-two million, two hundred eighty-two thousand, five hundred sixty".