5701368745800 has 1152 divisors, whose sum is σ = 24728104800000. Its totient is φ = 1196737597440.

The previous prime is 5701368745777. The next prime is 5701368745841. The reversal of 5701368745800 is 85478631075.

It is a happy number.

5701368745800 is a `hidden beast` number, since 57 + 0 + 1 + 3 + 6 + 8 + 7 + 4 + 580 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 684516036 + ... + 684524364.

It is an arithmetic number, because the mean of its divisors is an integer number (21465368750).

Almost surely, 2^{5701368745800} is an apocalyptic number.

5701368745800 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 5701368745800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12364052400000).

5701368745800 is an abundant number, since it is smaller than the sum of its proper divisors (19026736054200).

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

5701368745800 is a wasteful number, since it uses less digits than its factorization.

5701368745800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8580 (or 8558 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 5701368745800 in words is "five trillion, seven hundred one billion, three hundred sixty-eight million, seven hundred forty-five thousand, eight hundred".