48795733022400 has 2688 divisors, whose sum is σ = 227097024860160. Its totient is φ = 9916811182080.

The previous prime is 48795733022389. The next prime is 48795733022431. The reversal of 48795733022400 is 422033759784.

It is a happy number.

48795733022400 is a `hidden beast` number, since 4 + 8 + 7 + 9 + 573 + 3 + 0 + 22 + 40 + 0 = 666.

It is a super-2 number, since 2×48795733022400² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 14981801572 + ... + 14981804828.

It is an arithmetic number, because the mean of its divisors is an integer number (84485500320).

Almost surely, 2^{48795733022400} is an apocalyptic number.

48795733022400 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 48795733022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113548512430080).

48795733022400 is an abundant number, since it is smaller than the sum of its proper divisors (178301291837760).

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

48795733022400 is a wasteful number, since it uses less digits than its factorization.

48795733022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3448 (or 3427 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 48795733022400 in words is "forty-eight trillion, seven hundred ninety-five billion, seven hundred thirty-three million, twenty-two thousand, four hundred".