5772168400 has 60 divisors (see below), whose sum is σ = 14057673292. Its totient is φ = 2277227520.

The previous prime is 5772168379. The next prime is 5772168401. The reversal of 5772168400 is 48612775.

It can be written as a sum of positive squares in 6 ways, for example, as 735711376 + 5036457024 = 27124^2 + 70968^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5772168401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69639 + ... + 128038.

Almost surely, 2^5772168400 is an apocalyptic number.

5772168400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5772168400 is an abundant number, since it is smaller than the sum of its proper divisors (8285504892).

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

5772168400 is a wasteful number, since it uses less digits than its factorization.

5772168400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197768 (or 197757 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 40.

The square root of 5772168400 is about 75974.7879233631. The cubic root of 5772168400 is about 1793.8233145946.

The spelling of 5772168400 in words is "five billion, seven hundred seventy-two million, one hundred sixty-eight thousand, four hundred".