48658821120 has 832 divisors, whose sum is σ = 213128509440. Its totient is φ = 10255859712.

The previous prime is 48658821109. The next prime is 48658821151. The reversal of 48658821120 is 2112885684.

48658821120 is a `hidden beast` number, since 48 + 6 + 588 + 2 + 1 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (832).

It is a super-3 number, since 3×48658821120³ (a number of 33 digits) contains 333 as substring.

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

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, 50318877 + ... + 50319843.

Almost surely, 2^48658821120 is an apocalyptic number.

48658821120 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 48658821120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106564254720).

48658821120 is an abundant number, since it is smaller than the sum of its proper divisors (164469688320).

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

48658821120 is a wasteful number, since it uses less digits than its factorization.

48658821120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 48658821120 in words is "forty-eight billion, six hundred fifty-eight million, eight hundred twenty-one thousand, one hundred twenty".