48139038720000 has 1920 divisors, whose sum is σ = 191149462904400. Its totient is φ = 12060721152000.

The previous prime is 48139038719957. The next prime is 48139038720011. The reversal of 48139038720000 is 2783093184.

48139038720000 is a `hidden beast` number, since 481 + 3 + 90 + 3 + 87 + 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 84602879716 + ... + 84602880284.

Almost surely, 2^{48139038720000} is an apocalyptic number.

48139038720000 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 48139038720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95574731452200).

48139038720000 is an abundant number, since it is smaller than the sum of its proper divisors (143010424184400).

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

48139038720000 is an frugal number, since it uses more digits than its factorization.

48139038720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 48139038720000 in words is "forty-eight trillion, one hundred thirty-nine billion, thirty-eight million, seven hundred twenty thousand".