48004804800 has 252 divisors, whose sum is σ = 171036665800. Its totient is φ = 12770058240.

The previous prime is 48004804789. The next prime is 48004804811. The reversal of 48004804800 is 840840084.

It is an interprime number because it is at equal distance from previous prime (48004804789) and next prime (48004804811).

It is a super-2 number, since 2×48004804800² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6231351 + ... + 6239049.

Almost surely, 2^48004804800 is an apocalyptic number.

48004804800 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 48004804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85518332900).

48004804800 is an abundant number, since it is smaller than the sum of its proper divisors (123031861000).

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

48004804800 is a wasteful number, since it uses less digits than its factorization.

48004804800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8160 (or 8142 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 48004804800 in words is "forty-eight billion, four million, eight hundred four thousand, eight hundred".