48058168320 has 792 divisors, whose sum is σ = 183958223904. Its totient is φ = 12027543552.

The previous prime is 48058168297. The next prime is 48058168337. The reversal of 48058168320 is 2386185084.

48058168320 is a `hidden beast` number, since 4 + 8 + 0 + 581 + 68 + 3 + 2 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 449141707 + ... + 449141813.

Almost surely, 2^48058168320 is an apocalyptic number.

48058168320 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 48058168320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91979111952).

48058168320 is an abundant number, since it is smaller than the sum of its proper divisors (135900055584).

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

48058168320 is a wasteful number, since it uses less digits than its factorization.

48058168320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 48058168320 in words is "forty-eight billion, fifty-eight million, one hundred sixty-eight thousand, three hundred twenty".