5088546590400 has 4032 divisors, whose sum is σ = 24717556864000. Its totient is φ = 983224811520.

The previous prime is 5088546590341. The next prime is 5088546590429. The reversal of 5088546590400 is 40956458805.

5088546590400 is a `hidden beast` number, since 5 + 0 + 8 + 8 + 5 + 4 + 6 + 590 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 52459243152 + ... + 52459243248.

Almost surely, 2^{5088546590400} is an apocalyptic number.

5088546590400 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 5088546590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12358778432000).

5088546590400 is an abundant number, since it is smaller than the sum of its proper divisors (19629010273600).

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

5088546590400 is a wasteful number, since it uses less digits than its factorization.

5088546590400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 5088546590400 in words is "five trillion, eighty-eight billion, five hundred forty-six million, five hundred ninety thousand, four hundred".