5761789084800 has 2304 divisors, whose sum is σ = 24836047891200. Its totient is φ = 1244929720320.

The previous prime is 5761789084763. The next prime is 5761789084817. The reversal of 5761789084800 is 84809871675.

5761789084800 is a `hidden beast` number, since 5 + 7 + 61 + 7 + 8 + 90 + 8 + 480 + 0 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 64739203156 + ... + 64739203244.

It is an arithmetic number, because the mean of its divisors is an integer number (10779534675).

Almost surely, 2^{5761789084800} is an apocalyptic number.

5761789084800 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 5761789084800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12418023945600).

5761789084800 is an abundant number, since it is smaller than the sum of its proper divisors (19074258806400).

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

5761789084800 is a wasteful number, since it uses less digits than its factorization.

5761789084800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 63.

The spelling of 5761789084800 in words is "five trillion, seven hundred sixty-one billion, seven hundred eighty-nine million, eighty-four thousand, eight hundred".