48658011292800 has 5376 divisors, whose sum is σ = 238982816620800. Its totient is φ = 9493995847680.

The previous prime is 48658011292777. The next prime is 48658011292819. The reversal of 48658011292800 is 829211085684.

48658011292800 is a `hidden beast` number, since 4 + 8 + 6 + 580 + 11 + 29 + 28 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 350057635131 + ... + 350057635269.

It is an arithmetic number, because the mean of its divisors is an integer number (44453648925).

Almost surely, 2^{48658011292800} is an apocalyptic number.

48658011292800 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 48658011292800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119491408310400).

48658011292800 is an abundant number, since it is smaller than the sum of its proper divisors (190324805328000).

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

48658011292800 is a wasteful number, since it uses less digits than its factorization.

48658011292800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 48658011292800 in words is "forty-eight trillion, six hundred fifty-eight billion, eleven million, two hundred ninety-two thousand, eight hundred".