48256540866000 has 240 divisors, whose sum is σ = 168554582293968. Its totient is φ = 12867603840000.

The previous prime is 48256540865987. The next prime is 48256540866019. The reversal of 48256540866000 is 66804565284.

48256540866000 is a `hidden beast` number, since 4 + 8 + 25 + 6 + 5 + 4 + 0 + 8 + 6 + 600 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 17137414149696 + 31119126716304 = 4139736^2 + 5578452^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 320990850 + ... + 321141150.

Almost surely, 2^{48256540866000} is an apocalyptic number.

48256540866000 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 48256540866000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84277291146984).

48256540866000 is an abundant number, since it is smaller than the sum of its proper divisors (120298041427968).

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

48256540866000 is a wasteful number, since it uses less digits than its factorization.

48256540866000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168167 (or 168148 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 48256540866000 in words is "forty-eight trillion, two hundred fifty-six billion, five hundred forty million, eight hundred sixty-six thousand".