48844800480 has 192 divisors, whose sum is σ = 176163724800. Its totient is φ = 11144054784.

The previous prime is 48844800467. The next prime is 48844800493. The reversal of 48844800480 is 8400844884.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (48844800467) and next prime (48844800493).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1858471 + ... + 1884569.

It is an arithmetic number, because the mean of its divisors is an integer number (917519400).

Almost surely, 2^48844800480 is an apocalyptic number.

48844800480 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 48844800480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88081862400).

48844800480 is an abundant number, since it is smaller than the sum of its proper divisors (127318924320).

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

48844800480 is a wasteful number, since it uses less digits than its factorization.

48844800480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26681 (or 26673 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 48.

The spelling of 48844800480 in words is "forty-eight billion, eight hundred forty-four million, eight hundred thousand, four hundred eighty".