48256175520000 has 5760 divisors, whose sum is σ = 230612020531200. Its totient is φ = 9698476032000.

The previous prime is 48256175519987. The next prime is 48256175520011. The reversal of 48256175520000 is 2557165284.

48256175520000 is a `hidden beast` number, since 4 + 8 + 2 + 5 + 617 + 5 + 5 + 20 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 817901279971 + ... + 817901280029.

It is an arithmetic number, because the mean of its divisors is an integer number (40036809120).

Almost surely, 2^{48256175520000} is an apocalyptic number.

48256175520000 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 48256175520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115306010265600).

48256175520000 is an abundant number, since it is smaller than the sum of its proper divisors (182355845011200).

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

48256175520000 is a wasteful number, since it uses less digits than its factorization.

48256175520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 48256175520000 in words is "forty-eight trillion, two hundred fifty-six billion, one hundred seventy-five million, five hundred twenty thousand".