48127564800 has 1320 divisors, whose sum is σ = 213291668400. Its totient is φ = 10621255680.

The previous prime is 48127564787. The next prime is 48127564801. The reversal of 48127564800 is 846572184.

48127564800 is a `hidden beast` number, since 4 + 8 + 1 + 2 + 7 + 564 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48127564801) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1659571186 + ... + 1659571214.

Almost surely, 2^48127564800 is an apocalyptic number.

48127564800 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 48127564800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106645834200).

48127564800 is an abundant number, since it is smaller than the sum of its proper divisors (165164103600).

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

48127564800 is an equidigital number, since it uses as much as digits as its factorization.

48127564800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 48127564800 in words is "forty-eight billion, one hundred twenty-seven million, five hundred sixty-four thousand, eight hundred".