48294496588800 has 1056 divisors, whose sum is σ = 203064024499200. Its totient is φ = 10035159859200.

The previous prime is 48294496588781. The next prime is 48294496588913. The reversal of 48294496588800 is 888569449284.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×48294496588800² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (75).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 289683067 + ... + 289849733.

Almost surely, 2^{48294496588800} is an apocalyptic number.

48294496588800 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 48294496588800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101532012249600).

48294496588800 is an abundant number, since it is smaller than the sum of its proper divisors (154769527910400).

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

48294496588800 is a wasteful number, since it uses less digits than its factorization.

48294496588800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166732 (or 166695 counting only the distinct ones).

The product of its (nonzero) digits is 1274019840, while the sum is 75.

The spelling of 48294496588800 in words is "forty-eight trillion, two hundred ninety-four billion, four hundred ninety-six million, five hundred eighty-eight thousand, eight hundred".