5706820248800 has 144 divisors (see below), whose sum is σ = 15241362896592. Its totient is φ = 2069327462400.

The previous prime is 5706820248791. The next prime is 5706820248821. The reversal of 5706820248800 is 88420286075.

It is a happy number.

It is a super-2 number, since 2×5706820248800² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2187842 + ... + 4024958.

It is an arithmetic number, because the mean of its divisors is an integer number (105842797893).

Almost surely, 2^{5706820248800} is an apocalyptic number.

5706820248800 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 5706820248800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7620681448296).

5706820248800 is an abundant number, since it is smaller than the sum of its proper divisors (9534542647792).

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

5706820248800 is a wasteful number, since it uses less digits than its factorization.

5706820248800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1837501 (or 1837488 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 50.

The spelling of 5706820248800 in words is "five trillion, seven hundred six billion, eight hundred twenty million, two hundred forty-eight thousand, eight hundred".