48720349083888 has 240 divisors, whose sum is σ = 147062223977760. Its totient is φ = 15006444134400.

The previous prime is 48720349083877. The next prime is 48720349083943. The reversal of 48720349083888 is 88838094302784.

48720349083888 is a `hidden beast` number, since 4 + 8 + 7 + 20 + 3 + 490 + 8 + 38 + 88 = 666.

It is a super-2 number, since 2×48720349083888² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 477033468 + ... + 477135588.

It is an arithmetic number, because the mean of its divisors is an integer number (612759266574).

Almost surely, 2^{48720349083888} is an apocalyptic number.

48720349083888 is a gapful number since it is divisible by the number (48) 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 48720349083888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73531111988880).

48720349083888 is an abundant number, since it is smaller than the sum of its proper divisors (98341874893872).

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

48720349083888 is a wasteful number, since it uses less digits than its factorization.

48720349083888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106448 (or 106439 counting only the distinct ones).

The product of its (nonzero) digits is 594542592, while the sum is 72.

The spelling of 48720349083888 in words is "forty-eight trillion, seven hundred twenty billion, three hundred forty-nine million, eighty-three thousand, eight hundred eighty-eight".