48800808000 has 336 divisors, whose sum is σ = 199509058944. Its totient is φ = 11154355200.

The previous prime is 48800807999. The next prime is 48800808031. The reversal of 48800808000 is 80800884.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×48800808000² (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 a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 455587 + ... + 552413.

Almost surely, 2^48800808000 is an apocalyptic number.

48800808000 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 48800808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99754529472).

48800808000 is an abundant number, since it is smaller than the sum of its proper divisors (150708250944).

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

48800808000 is a wasteful number, since it uses less digits than its factorization.

48800808000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96867 (or 96844 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The spelling of 48800808000 in words is "forty-eight billion, eight hundred million, eight hundred eight thousand".