48159936720000 has 1920 divisors, whose sum is σ = 205938786493440. Its totient is φ = 10970878464000.

The previous prime is 48159936719981. The next prime is 48159936720047. The reversal of 48159936720000 is 2763995184.

48159936720000 is a `hidden beast` number, since 48 + 1 + 599 + 3 + 6 + 7 + 2 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 239 ways as a sum of consecutive naturals, for example, 74435759677 + ... + 74435760323.

It is an arithmetic number, because the mean of its divisors is an integer number (107259784632).

It is a 1-persistent number, because it is pandigital, but 2⋅48159936720000 = 96319873440000 is not.

Almost surely, 2^{48159936720000} is an apocalyptic number.

48159936720000 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 48159936720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102969393246720).

48159936720000 is an abundant number, since it is smaller than the sum of its proper divisors (157778849773440).

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

48159936720000 is an frugal number, since it uses more digits than its factorization.

48159936720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 48159936720000 in words is "forty-eight trillion, one hundred fifty-nine billion, nine hundred thirty-six million, seven hundred twenty thousand".