48664385280 has 1296 divisors, whose sum is σ = 211705288704. Its totient is φ = 10659962880.

The previous prime is 48664385257. The next prime is 48664385281. The reversal of 48664385280 is 8258346684.

48664385280 is a `hidden beast` number, since 4 + 86 + 6 + 4 + 38 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48664385281) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 472469709 + ... + 472469811.

Almost surely, 2^48664385280 is an apocalyptic number.

48664385280 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 48664385280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105852644352).

48664385280 is an abundant number, since it is smaller than the sum of its proper divisors (163040903424).

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

48664385280 is a wasteful number, since it uses less digits than its factorization.

48664385280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 48664385280 in words is "forty-eight billion, six hundred sixty-four million, three hundred eighty-five thousand, two hundred eighty".