5790295680000 has 880 divisors, whose sum is σ = 21114903518016. Its totient is φ = 1401569280000.

The previous prime is 5790295679983. The next prime is 5790295680049. The reversal of 5790295680000 is 865920975.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1522558099 + ... + 1522561901.

Almost surely, 2^{5790295680000} is an apocalyptic number.

5790295680000 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 5790295680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10557451759008).

5790295680000 is an abundant number, since it is smaller than the sum of its proper divisors (15324607838016).

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

5790295680000 is a wasteful number, since it uses less digits than its factorization.

5790295680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3920 (or 3887 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 51.

The spelling of 5790295680000 in words is "five trillion, seven hundred ninety billion, two hundred ninety-five million, six hundred eighty thousand".