48789064800 has 864 divisors, whose sum is σ = 212026429440. Its totient is φ = 10784793600.

The previous prime is 48789064781. The next prime is 48789064843. The reversal of 48789064800 is 846098784.

48789064800 is a `hidden beast` number, since 4 + 8 + 78 + 90 + 6 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-3 number, since 3×48789064800³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 32809657 + ... + 32811143.

It is an arithmetic number, because the mean of its divisors is an integer number (245400960).

Almost surely, 2^48789064800 is an apocalyptic number.

48789064800 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 48789064800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106013214720).

48789064800 is an abundant number, since it is smaller than the sum of its proper divisors (163237364640).

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

48789064800 is a wasteful number, since it uses less digits than its factorization.

48789064800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1561 (or 1535 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 48789064800 in words is "forty-eight billion, seven hundred eighty-nine million, sixty-four thousand, eight hundred".