5757998400 has 840 divisors, whose sum is σ = 26433206976. Its totient is φ = 1194393600.

The previous prime is 5757998371. The next prime is 5757998429. The reversal of 5757998400 is 48997575.

It is an interprime number because it is at equal distance from previous prime (5757998371) and next prime (5757998429).

It is a tau number, because it is divible by the number of its divisors (840).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9978912 + ... + 9979488.

Almost surely, 2^5757998400 is an apocalyptic number.

5757998400 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 5757998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13216603488).

5757998400 is an abundant number, since it is smaller than the sum of its proper divisors (20675208576).

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

5757998400 is a wasteful number, since it uses less digits than its factorization.

5757998400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The square root of 5757998400 is about 75881.4760004047. The cubic root of 5757998400 is about 1792.3542361468.

The spelling of 5757998400 in words is "five billion, seven hundred fifty-seven million, nine hundred ninety-eight thousand, four hundred".