48244382524800 has 8064 divisors, whose sum is σ = 250625888246880. Its totient is φ = 9029615616000.

The previous prime is 48244382524781. The next prime is 48244382524853. The reversal of 48244382524800 is 842528344284.

It is a happy number.

48244382524800 is a `hidden beast` number, since 4 + 8 + 2 + 4 + 4 + 38 + 2 + 524 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (8064).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1007 ways as a sum of consecutive naturals, for example, 790891516770 + ... + 790891516830.

Almost surely, 2^{48244382524800} is an apocalyptic number.

48244382524800 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 48244382524800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125312944123440).

48244382524800 is an abundant number, since it is smaller than the sum of its proper divisors (202381505722080).

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

48244382524800 is a wasteful number, since it uses less digits than its factorization.

48244382524800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 15728640, while the sum is 54.

The spelling of 48244382524800 in words is "forty-eight trillion, two hundred forty-four billion, three hundred eighty-two million, five hundred twenty-four thousand, eight hundred".