5764442112000 has 2400 divisors, whose sum is σ = 25353957492864. Its totient is φ = 1289945088000.

The previous prime is 5764442111971. The next prime is 5764442112089. The reversal of 5764442112000 is 2112444675.

5764442112000 is a `hidden beast` number, since 5 + 7 + 6 + 4 + 442 + 1 + 1 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 443418623994 + ... + 443418624006.

Almost surely, 2^{5764442112000} is an apocalyptic number.

5764442112000 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 5764442112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12676978746432).

5764442112000 is an abundant number, since it is smaller than the sum of its proper divisors (19589515380864).

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

5764442112000 is an frugal number, since it uses more digits than its factorization.

5764442112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Adding to 5764442112000 its reverse (2112444675), we get a palindrome (5766554556675).

The spelling of 5764442112000 in words is "five trillion, seven hundred sixty-four billion, four hundred forty-two million, one hundred twelve thousand".