48222028800 has 792 divisors, whose sum is σ = 192442236480. Its totient is φ = 11437670400.

The previous prime is 48222028787. The next prime is 48222028859. The reversal of 48222028800 is 882022284.

It is a tau number, because it is divible by the number of its divisors (792).

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 71 ways as a sum of consecutive naturals, for example, 134323021 + ... + 134323379.

Almost surely, 2^48222028800 is an apocalyptic number.

48222028800 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 48222028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96221118240).

48222028800 is an abundant number, since it is smaller than the sum of its proper divisors (144220207680).

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

48222028800 is a wasteful number, since it uses less digits than its factorization.

48222028800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 48222028800 in words is "forty-eight billion, two hundred twenty-two million, twenty-eight thousand, eight hundred".