5772513600 has 882 divisors, whose sum is σ = 25018461774. Its totient is φ = 1306368000.

The previous prime is 5772513587. The next prime is 5772513611. The reversal of 5772513600 is 63152775.

5772513600 is a `hidden beast` number, since 577 + 2 + 51 + 36 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1545433344 + 4227080256 = 39312^2 + 65016^2 .

It is a tau number, because it is divible by the number of its divisors (882).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 57153550 + ... + 57153650.

Almost surely, 2^5772513600 is an apocalyptic number.

5772513600 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 5772513600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12509230887).

5772513600 is an abundant number, since it is smaller than the sum of its proper divisors (19245948174).

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

5772513600 is a wasteful number, since it uses less digits than its factorization.

5772513600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 5772513600 is about 75977.0596956739. The cubic root of 5772513600 is about 1793.8590732802.

The spelling of 5772513600 in words is "five billion, seven hundred seventy-two million, five hundred thirteen thousand, six hundred".