48115276800 has 528 divisors, whose sum is σ = 170237363040. Its totient is φ = 11943280640.

The previous prime is 48115276747. The next prime is 48115276801. The reversal of 48115276800 is 867251184.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48115276801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 178867066 + ... + 178867334.

Almost surely, 2^48115276800 is an apocalyptic number.

48115276800 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 48115276800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85118681520).

48115276800 is an abundant number, since it is smaller than the sum of its proper divisors (122122086240).

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

48115276800 is a wasteful number, since it uses less digits than its factorization.

48115276800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The spelling of 48115276800 in words is "forty-eight billion, one hundred fifteen million, two hundred seventy-six thousand, eight hundred".