5090255856000 has 3072 divisors, whose sum is σ = 23091087052800. Its totient is φ = 1049119948800.

The previous prime is 5090255855999. The next prime is 5090255856041. The reversal of 5090255856000 is 6585520905.

5090255856000 is a `hidden beast` number, since 5 + 0 + 9 + 0 + 2 + 5 + 585 + 60 + 0 + 0 = 666.

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 polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 45046511944 + ... + 45046512056.

It is an arithmetic number, because the mean of its divisors is an integer number (7516629900).

Almost surely, 2^{5090255856000} is an apocalyptic number.

5090255856000 is a gapful number since it is divisible by the number (50) 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 5090255856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11545543526400).

5090255856000 is an abundant number, since it is smaller than the sum of its proper divisors (18000831196800).

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

5090255856000 is a wasteful number, since it uses less digits than its factorization.

5090255856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 45.

The spelling of 5090255856000 in words is "five trillion, ninety billion, two hundred fifty-five million, eight hundred fifty-six thousand".