48535733753584 has 160 divisors (see below), whose sum is σ = 117419001131520. Its totient is φ = 18881517849600.

The previous prime is 48535733753543. The next prime is 48535733753593.

48535733753584 is nontrivially palindromic in base 10.

It is a congruent number.

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, 6395533662 + ... + 6395541250.

It is an arithmetic number, because the mean of its divisors is an integer number (733868757072).

Almost surely, 2^{48535733753584} is an apocalyptic number.

48535733753584 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48535733753584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58709500565760).

48535733753584 is an abundant number, since it is smaller than the sum of its proper divisors (68883267377936).

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

48535733753584 is a wasteful number, since it uses less digits than its factorization.

48535733753584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14759 (or 14753 counting only the distinct ones).

The product of its digits is 2540160000, while the sum is 70.

The spelling of 48535733753584 in words is "forty-eight trillion, five hundred thirty-five billion, seven hundred thirty-three million, seven hundred fifty-three thousand, five hundred eighty-four".