5709574080000 has 900 divisors, whose sum is σ = 23953597848180. Its totient is φ = 1305013248000.

The previous prime is 5709574079999. The next prime is 5709574080029. The reversal of 5709574080000 is 804759075.

5709574080000 is a `hidden beast` number, since 5 + 70 + 9 + 574 + 0 + 8 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 141099771 + ... + 141140229.

Almost surely, 2^{5709574080000} is an apocalyptic number.

5709574080000 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 5709574080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11976798924090).

5709574080000 is an abundant number, since it is smaller than the sum of its proper divisors (18244023768180).

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

5709574080000 is an equidigital number, since it uses as much as digits as its factorization.

5709574080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40517 (or 40476 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 5709574080000 in words is "five trillion, seven hundred nine billion, five hundred seventy-four million, eighty thousand".