48021724800 has 1440 divisors, whose sum is σ = 218083140000. Its totient is φ = 10346434560.

The previous prime is 48021724783. The next prime is 48021724823. The reversal of 48021724800 is 842712084.

48021724800 is a `hidden beast` number, since 4 + 8 + 0 + 2 + 172 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 241315101 + ... + 241315299.

It is an arithmetic number, because the mean of its divisors is an integer number (151446625).

Almost surely, 2^48021724800 is an apocalyptic number.

48021724800 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 48021724800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109041570000).

48021724800 is an abundant number, since it is smaller than the sum of its proper divisors (170061415200).

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

48021724800 is a wasteful number, since it uses less digits than its factorization.

48021724800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 48021724800 in words is "forty-eight billion, twenty-one million, seven hundred twenty-four thousand, eight hundred".