48088811520 has 576 divisors, whose sum is σ = 181680408000. Its totient is φ = 11717443584.

The previous prime is 48088811483. The next prime is 48088811527. The reversal of 48088811520 is 2511888084.

48088811520 is a `hidden beast` number, since 48 + 0 + 8 + 8 + 81 + 1 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×48088811520³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (48088811527) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50779687 + ... + 50780633.

It is an arithmetic number, because the mean of its divisors is an integer number (315417375).

Almost surely, 2^48088811520 is an apocalyptic number.

48088811520 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 48088811520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90840204000).

48088811520 is an abundant number, since it is smaller than the sum of its proper divisors (133591596480).

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

48088811520 is a wasteful number, since it uses less digits than its factorization.

48088811520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 45.

The spelling of 48088811520 in words is "forty-eight billion, eighty-eight million, eight hundred eleven thousand, five hundred twenty".