48772724400 has 480 divisors, whose sum is σ = 177525145600. Its totient is φ = 12874256640.

The previous prime is 48772724369. The next prime is 48772724401. The reversal of 48772724400 is 442727784.

48772724400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (48772724401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 111099381 + ... + 111099819.

Almost surely, 2^48772724400 is an apocalyptic number.

48772724400 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 48772724400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88762572800).

48772724400 is an abundant number, since it is smaller than the sum of its proper divisors (128752421200).

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

48772724400 is a wasteful number, since it uses less digits than its factorization.

48772724400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 702464, while the sum is 45.

The spelling of 48772724400 in words is "forty-eight billion, seven hundred seventy-two million, seven hundred twenty-four thousand, four hundred".