48272001684480 has 1320 divisors, whose sum is σ = 201548014252200. Its totient is φ = 11015685144576.

The previous prime is 48272001684371. The next prime is 48272001684539. The reversal of 48272001684480 is 8448610027284.

48272001684480 is a `hidden beast` number, since 4 + 8 + 2 + 72 + 0 + 0 + 16 + 84 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11718079156224 + 36553922528256 = 3423168^2 + 6045984^2 .

It is a super-2 number, since 2×48272001684480² (a number of 28 digits) contains 22 as substring.

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 119 ways as a sum of consecutive naturals, for example, 15627062776 + ... + 15627065864.

It is an arithmetic number, because the mean of its divisors is an integer number (152687889585).

Almost surely, 2^{48272001684480} is an apocalyptic number.

48272001684480 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 48272001684480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100774007126100).

48272001684480 is an abundant number, since it is smaller than the sum of its proper divisors (153276012567720).

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

48272001684480 is a wasteful number, since it uses less digits than its factorization.

48272001684480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3909 (or 3875 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 54.

The spelling of 48272001684480 in words is "forty-eight trillion, two hundred seventy-two billion, one million, six hundred eighty-four thousand, four hundred eighty".