5757350400 has 420 divisors, whose sum is σ = 21421306962. Its totient is φ = 1532805120.

The previous prime is 5757350377. The next prime is 5757350419. The reversal of 5757350400 is 40537575.

It can be written as a sum of positive squares in 3 ways, for example, as 2554695936 + 3202654464 = 50544^2 + 56592^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 9330892 + ... + 9331508.

Almost surely, 2^5757350400 is an apocalyptic number.

5757350400 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 5757350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10710653481).

5757350400 is an abundant number, since it is smaller than the sum of its proper divisors (15663956562).

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

5757350400 is an frugal number, since it uses more digits than its factorization.

5757350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 73500, while the sum is 36.

The square root of 5757350400 is about 75877.2060634813. The cubic root of 5757350400 is about 1792.2869969758.

Adding to 5757350400 its reverse (40537575), we get a palindrome (5797887975).

The spelling of 5757350400 in words is "five billion, seven hundred fifty-seven million, three hundred fifty thousand, four hundred".