48400813680 has 80 divisors (see below), whose sum is σ = 150183676320. Its totient is φ = 12894741504.

The previous prime is 48400813667. The next prime is 48400813723. The reversal of 48400813680 is 8631800484.

48400813680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162234 + ... + 350886.

It is an arithmetic number, because the mean of its divisors is an integer number (1877295954).

Almost surely, 2^48400813680 is an apocalyptic number.

48400813680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48400813680 is an abundant number, since it is smaller than the sum of its proper divisors (101782862640).

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

48400813680 is a wasteful number, since it uses less digits than its factorization.

48400813680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189738 (or 189732 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The spelling of 48400813680 in words is "forty-eight billion, four hundred million, eight hundred thirteen thousand, six hundred eighty".