5705861990400 has 1728 divisors, whose sum is σ = 24227028745920. Its totient is φ = 1265172480000.

The previous prime is 5705861990393. The next prime is 5705861990419. The reversal of 5705861990400 is 40991685075.

5705861990400 is a `hidden beast` number, since 5 + 7 + 0 + 586 + 19 + 9 + 0 + 40 + 0 = 666.

It is a super-2 number, since 2×5705861990400² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8632166070 + ... + 8632166730.

It is an arithmetic number, because the mean of its divisors is an integer number (14020271265).

Almost surely, 2^{5705861990400} is an apocalyptic number.

5705861990400 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 5705861990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12113514372960).

5705861990400 is an abundant number, since it is smaller than the sum of its proper divisors (18521166755520).

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

5705861990400 is a wasteful number, since it uses less digits than its factorization.

5705861990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 5705861990400 in words is "five trillion, seven hundred five billion, eight hundred sixty-one million, nine hundred ninety thousand, four hundred".