48824709120 has 832 divisors, whose sum is σ = 198156672000. Its totient is φ = 11289231360.

The previous prime is 48824709119. The next prime is 48824709133. The reversal of 48824709120 is 2190742884.

48824709120 is a `hidden beast` number, since 488 + 2 + 47 + 0 + 9 + 120 = 666.

It is a super-2 number, since 2×48824709120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 139898706 + ... + 139899054.

Almost surely, 2^48824709120 is an apocalyptic number.

48824709120 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 48824709120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99078336000).

48824709120 is an abundant number, since it is smaller than the sum of its proper divisors (149331962880).

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

48824709120 is a wasteful number, since it uses less digits than its factorization.

48824709120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 48824709120 in words is "forty-eight billion, eight hundred twenty-four million, seven hundred nine thousand, one hundred twenty".