5690844961200 has 1200 divisors, whose sum is σ = 23689174629120. Its totient is φ = 1281547008000.

The previous prime is 5690844961177. The next prime is 5690844961259. The reversal of 5690844961200 is 21694480965.

5690844961200 is a `hidden beast` number, since 5 + 69 + 0 + 84 + 496 + 12 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5216172655 + ... + 5216173745.

Almost surely, 2^{5690844961200} is an apocalyptic number.

5690844961200 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 5690844961200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11844587314560).

5690844961200 is an abundant number, since it is smaller than the sum of its proper divisors (17998329667920).

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

5690844961200 is a wasteful number, since it uses less digits than its factorization.

5690844961200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1448 (or 1428 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 5690844961200 in words is "five trillion, six hundred ninety billion, eight hundred forty-four million, nine hundred sixty-one thousand, two hundred".