5709699072000 has 2880 divisors, whose sum is σ = 26793235123200. Its totient is φ = 1178468352000.

The previous prime is 5709699071939. The next prime is 5709699072031. The reversal of 5709699072000 is 2709969075.

5709699072000 is a `hidden beast` number, since 570 + 9 + 69 + 9 + 0 + 7 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×5709699072000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 38320127926 + ... + 38320128074.

It is an arithmetic number, because the mean of its divisors is an integer number (9303206640).

Almost surely, 2^{5709699072000} is an apocalyptic number.

5709699072000 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 5709699072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13396617561600).

5709699072000 is an abundant number, since it is smaller than the sum of its proper divisors (21083536051200).

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

5709699072000 is an equidigital number, since it uses as much as digits as its factorization.

5709699072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 2143260, while the sum is 54.

The spelling of 5709699072000 in words is "five trillion, seven hundred nine billion, six hundred ninety-nine million, seventy-two thousand".