48842710156800 has 1080 divisors, whose sum is σ = 205430981091336. Its totient is φ = 11048830894080.

The previous prime is 48842710156741. The next prime is 48842710156819. The reversal of 48842710156800 is 865101724884.

48842710156800 is a `hidden beast` number, since 4 + 8 + 8 + 4 + 2 + 71 + 0 + 1 + 568 + 0 + 0 = 666.

It is a super-2 number, since 2×48842710156800² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 547500999 + ... + 547590201.

Almost surely, 2^{48842710156800} is an apocalyptic number.

48842710156800 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 48842710156800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102715490545668).

48842710156800 is an abundant number, since it is smaller than the sum of its proper divisors (156588270934536).

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

48842710156800 is a wasteful number, since it uses less digits than its factorization.

48842710156800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89348 (or 89317 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 48842710156800 in words is "forty-eight trillion, eight hundred forty-two billion, seven hundred ten million, one hundred fifty-six thousand, eight hundred".