48117642138720 has 1152 divisors, whose sum is σ = 212615624632320. Its totient is φ = 9618863063040.

The previous prime is 48117642138701. The next prime is 48117642138767. The reversal of 48117642138720 is 2783124671184.

48117642138720 is a `hidden beast` number, since 4 + 8 + 117 + 6 + 421 + 3 + 87 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 365061949 + ... + 365193731.

It is an arithmetic number, because the mean of its divisors is an integer number (184562174160).

Almost surely, 2^{48117642138720} is an apocalyptic number.

48117642138720 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 48117642138720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106307812316160).

48117642138720 is an abundant number, since it is smaller than the sum of its proper divisors (164497982493600).

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

48117642138720 is a wasteful number, since it uses less digits than its factorization.

48117642138720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131948 (or 131937 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 48117642138720 in words is "forty-eight trillion, one hundred seventeen billion, six hundred forty-two million, one hundred thirty-eight thousand, seven hundred twenty".