48033534880 has 96 divisors (see below), whose sum is σ = 119198677248. Its totient is φ = 18256128000.

The previous prime is 48033534797. The next prime is 48033534889. The reversal of 48033534880 is 8843533084.

It is a super-2 number, since 2×48033534880² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 48033534880.

It is not an unprimeable number, because it can be changed into a prime (48033534889) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 512460 + ... + 598900.

It is an arithmetic number, because the mean of its divisors is an integer number (1241652888).

Almost surely, 2^48033534880 is an apocalyptic number.

48033534880 is a gapful number since it is divisible by the number (40) 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 48033534880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59599338624).

48033534880 is an abundant number, since it is smaller than the sum of its proper divisors (71165142368).

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

48033534880 is a wasteful number, since it uses less digits than its factorization.

48033534880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86630 (or 86622 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 46.

The spelling of 48033534880 in words is "forty-eight billion, thirty-three million, five hundred thirty-four thousand, eight hundred eighty".