48893644800 has 1872 divisors, whose sum is σ = 239571416448. Its totient is φ = 9201254400.

The previous prime is 48893644799. The next prime is 48893644823. The reversal of 48893644800 is 844639884.

It is a tau number, because it is divible by the number of its divisors (1872).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 922521574 + ... + 922521626.

It is an arithmetic number, because the mean of its divisors is an integer number (127976184).

Almost surely, 2^48893644800 is an apocalyptic number.

48893644800 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 48893644800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119785708224).

48893644800 is an abundant number, since it is smaller than the sum of its proper divisors (190677771648).

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

48893644800 is a wasteful number, since it uses less digits than its factorization.

48893644800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 48893644800 in words is "forty-eight billion, eight hundred ninety-three million, six hundred forty-four thousand, eight hundred".