48597079584 has 96 divisors (see below), whose sum is σ = 130883437440. Its totient is φ = 15779174400.

The previous prime is 48597079561. The next prime is 48597079591.

48597079584 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×48597079584² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2592357 + ... + 2611035.

It is an arithmetic number, because the mean of its divisors is an integer number (1363369140).

Almost surely, 2^48597079584 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 48597079584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65441718720).

48597079584 is an abundant number, since it is smaller than the sum of its proper divisors (82286357856).

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

48597079584 is a wasteful number, since it uses less digits than its factorization.

48597079584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19394 (or 19386 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 66.

The spelling of 48597079584 in words is "forty-eight billion, five hundred ninety-seven million, seventy-nine thousand, five hundred eighty-four".