5701820400 has 360 divisors, whose sum is σ = 21123764064. Its totient is φ = 1419264000.

The previous prime is 5701820389. The next prime is 5701820407. The reversal of 5701820400 is 40281075.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5701820407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9240892 + ... + 9241508.

Almost surely, 2^5701820400 is an apocalyptic number.

5701820400 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 5701820400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10561882032).

5701820400 is an abundant number, since it is smaller than the sum of its proper divisors (15421943664).

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

5701820400 is a wasteful number, since it uses less digits than its factorization.

5701820400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 5701820400 is about 75510.3992838073. The cubic root of 5701820400 is about 1786.5061317730.

The spelling of 5701820400 in words is "five billion, seven hundred one million, eight hundred twenty thousand, four hundred".