48590243251200 has 1584 divisors, whose sum is σ = 205310260155520. Its totient is φ = 10747631370240.

The previous prime is 48590243251133. The next prime is 48590243251213. The reversal of 48590243251200 is 215234209584.

48590243251200 is a `hidden beast` number, since 4 + 8 + 5 + 9 + 0 + 2 + 432 + 5 + 1 + 200 = 666.

It is a super-2 number, since 2×48590243251200² (a number of 28 digits) contains 22 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11517002691 + ... + 11517006909.

Almost surely, 2^{48590243251200} is an apocalyptic number.

48590243251200 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 48590243251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102655130077760).

48590243251200 is an abundant number, since it is smaller than the sum of its proper divisors (156720016904320).

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

48590243251200 is a wasteful number, since it uses less digits than its factorization.

48590243251200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4492 (or 4466 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 48590243251200 in words is "forty-eight trillion, five hundred ninety billion, two hundred forty-three million, two hundred fifty-one thousand, two hundred".