48088848400 has 120 divisors (see below), whose sum is σ = 117400680320. Its totient is φ = 18926369280.

The previous prime is 48088848391. The next prime is 48088848419. The reversal of 48088848400 is 484888084.

It is a happy number.

It is a super-3 number, since 3×48088848400³ (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9698722 + ... + 9703678.

Almost surely, 2^48088848400 is an apocalyptic number.

48088848400 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 48088848400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58700340160).

48088848400 is an abundant number, since it is smaller than the sum of its proper divisors (69311831920).

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

48088848400 is a wasteful number, since it uses less digits than its factorization.

48088848400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5361 (or 5350 counting only the distinct ones).

The product of its (nonzero) digits is 2097152, while the sum is 52.

The spelling of 48088848400 in words is "forty-eight billion, eighty-eight million, eight hundred forty-eight thousand, four hundred".