5313772800 has 864 divisors, whose sum is σ = 23358504960. Its totient is φ = 1155686400.

The previous prime is 5313772799. The next prime is 5313772819. The reversal of 5313772800 is 82773135.

5313772800 is a `hidden beast` number, since 5 + 3 + 1 + 377 + 280 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 95 ways as a sum of consecutive naturals, for example, 27820705 + ... + 27820895.

Almost surely, 2^5313772800 is an apocalyptic number.

5313772800 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 5313772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11679252480).

5313772800 is an abundant number, since it is smaller than the sum of its proper divisors (18044732160).

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

5313772800 is a wasteful number, since it uses less digits than its factorization.

5313772800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 5313772800 is about 72895.6294986195. The cubic root of 5313772800 is about 1745.0223503786.

The spelling of 5313772800 in words is "five billion, three hundred thirteen million, seven hundred seventy-two thousand, eight hundred".