48794963817600 has 2304 divisors, whose sum is σ = 246078799948800. Its totient is φ = 8866580889600.

The previous prime is 48794963817511. The next prime is 48794963817601. The reversal of 48794963817600 is 671836949784.

48794963817600 is a `hidden beast` number, since 4 + 8 + 7 + 9 + 4 + 9 + 6 + 3 + 8 + 1 + 7 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (48794963817601) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 547702659 + ... + 547791741.

It is an arithmetic number, because the mean of its divisors is an integer number (106805034700).

Almost surely, 2^{48794963817600} is an apocalyptic number.

48794963817600 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 48794963817600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123039399974400).

48794963817600 is an abundant number, since it is smaller than the sum of its proper divisors (197283836131200).

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

48794963817600 is a wasteful number, since it uses less digits than its factorization.

48794963817600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89163 (or 89143 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 72.

The spelling of 48794963817600 in words is "forty-eight trillion, seven hundred ninety-four billion, nine hundred sixty-three million, eight hundred seventeen thousand, six hundred".