5790385097280 has 672 divisors, whose sum is σ = 23107347394560. Its totient is φ = 1303461089280.

The previous prime is 5790385097257. The next prime is 5790385097297. The reversal of 5790385097280 is 827905830975.

5790385097280 is a `hidden beast` number, since 5 + 7 + 90 + 38 + 509 + 7 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1887962307 + ... + 1887965373.

Almost surely, 2^{5790385097280} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5790385097280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11553673697280).

5790385097280 is an abundant number, since it is smaller than the sum of its proper divisors (17316962297280).

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

5790385097280 is a wasteful number, since it uses less digits than its factorization.

5790385097280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4487 (or 4474 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 63.

The spelling of 5790385097280 in words is "five trillion, seven hundred ninety billion, three hundred eighty-five million, ninety-seven thousand, two hundred eighty".