5715578400 has 288 divisors, whose sum is σ = 21335384448. Its totient is φ = 1301913600.

The previous prime is 5715578387. The next prime is 5715578411. The reversal of 5715578400 is 48755175.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8752474 + ... + 8753126.

It is an arithmetic number, because the mean of its divisors is an integer number (74081196).

Almost surely, 2^5715578400 is an apocalyptic number.

5715578400 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 5715578400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10667692224).

5715578400 is an abundant number, since it is smaller than the sum of its proper divisors (15619806048).

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

5715578400 is a wasteful number, since it uses less digits than its factorization.

5715578400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1204 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 196000, while the sum is 42.

The square root of 5715578400 is about 75601.4444306456. Note that the first 4 decimals coincide. The cubic root of 5715578400 is about 1787.9418726005.

The spelling of 5715578400 in words is "five billion, seven hundred fifteen million, five hundred seventy-eight thousand, four hundred".