97809139872 has 192 divisors, whose sum is σ = 302750784000. Its totient is φ = 30614814720.

The previous prime is 97809139859. The next prime is 97809139919. The reversal of 97809139872 is 27893190879.

97809139872 is a `hidden beast` number, since 97 + 8 + 0 + 91 + 398 + 72 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6587497 + ... + 6602327.

It is an arithmetic number, because the mean of its divisors is an integer number (1576827000).

Almost surely, 2^97809139872 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 97809139872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151375392000).

97809139872 is an abundant number, since it is smaller than the sum of its proper divisors (204941644128).

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

97809139872 is a wasteful number, since it uses less digits than its factorization.

97809139872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15316 (or 15302 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 63.

The spelling of 97809139872 in words is "ninety-seven billion, eight hundred nine million, one hundred thirty-nine thousand, eight hundred seventy-two".