5795785981440 has 1440 divisors, whose sum is σ = 25623575673696. Its totient is φ = 1199613542400.

The previous prime is 5795785981423. The next prime is 5795785981459. The reversal of 5795785981440 is 441895875975.

It is a happy number.

5795785981440 is a `hidden beast` number, since 5 + 7 + 9 + 57 + 8 + 59 + 81 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×5795785981440² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 777849715 + ... + 777857165.

Almost surely, 2^{5795785981440} 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 5795785981440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12811787836848).

5795785981440 is an abundant number, since it is smaller than the sum of its proper divisors (19827789692256).

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

5795785981440 is a wasteful number, since it uses less digits than its factorization.

5795785981440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7560 (or 7534 counting only the distinct ones).

The product of its (nonzero) digits is 508032000, while the sum is 72.

The spelling of 5795785981440 in words is "five trillion, seven hundred ninety-five billion, seven hundred eighty-five million, nine hundred eighty-one thousand, four hundred forty".