97719578880 has 864 divisors, whose sum is σ = 409094074368. Its totient is φ = 19637452800.

The previous prime is 97719578839. The next prime is 97719578899. The reversal of 97719578880 is 8887591779.

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, 64161799 + ... + 64163321.

It is an arithmetic number, because the mean of its divisors is an integer number (473488512).

Almost surely, 2^97719578880 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 97719578880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204547037184).

97719578880 is an abundant number, since it is smaller than the sum of its proper divisors (311374495488).

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

97719578880 is a wasteful number, since it uses less digits than its factorization.

97719578880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1603 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 69.

The spelling of 97719578880 in words is "ninety-seven billion, seven hundred nineteen million, five hundred seventy-eight thousand, eight hundred eighty".