48795062428800 has 768 divisors, whose sum is σ = 181413451296000. Its totient is φ = 12806885376000.

The previous prime is 48795062428789. The next prime is 48795062428811. The reversal of 48795062428800 is 882426059784.

48795062428800 is a `hidden beast` number, since 4 + 8 + 7 + 9 + 506 + 2 + 42 + 8 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (48795062428789) and next prime (48795062428811).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1422040444 + ... + 1422074756.

It is an arithmetic number, because the mean of its divisors is an integer number (236215431375).

Almost surely, 2^{48795062428800} is an apocalyptic number.

48795062428800 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 48795062428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90706725648000).

48795062428800 is an abundant number, since it is smaller than the sum of its proper divisors (132618388867200).

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

48795062428800 is a wasteful number, since it uses less digits than its factorization.

48795062428800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34606 (or 34583 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 48795062428800 in words is "forty-eight trillion, seven hundred ninety-five billion, sixty-two million, four hundred twenty-eight thousand, eight hundred".