5722007961600 has 1920 divisors, whose sum is σ = 24668707768320. Its totient is φ = 1284211998720.

The previous prime is 5722007961589. The next prime is 5722007961623. The reversal of 5722007961600 is 61697002275.

5722007961600 is a `hidden beast` number, since 5 + 7 + 2 + 20 + 0 + 7 + 9 + 616 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×5722007961600² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 45055180737 + ... + 45055180863.

It is an arithmetic number, because the mean of its divisors is an integer number (12848285296).

Almost surely, 2^{5722007961600} is an apocalyptic number.

5722007961600 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 5722007961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12334353884160).

5722007961600 is an abundant number, since it is smaller than the sum of its proper divisors (18946699806720).

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

5722007961600 is an equidigital number, since it uses as much as digits as its factorization.

5722007961600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 5722007961600 in words is "five trillion, seven hundred twenty-two billion, seven million, nine hundred sixty-one thousand, six hundred".