5264787600 has 360 divisors, whose sum is σ = 19069315200. Its totient is φ = 1343462400.

The previous prime is 5264787587. The next prime is 5264787601. The reversal of 5264787600 is 67874625.

5264787600 is a `hidden beast` number, since 526 + 47 + 87 + 6 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×5264787600² = 55435976946227520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5264787601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22028281 + ... + 22028519.

It is an arithmetic number, because the mean of its divisors is an integer number (52970320).

Almost surely, 2^5264787600 is an apocalyptic number.

5264787600 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 5264787600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9534657600).

5264787600 is an abundant number, since it is smaller than the sum of its proper divisors (13804527600).

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

5264787600 is a wasteful number, since it uses less digits than its factorization.

5264787600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 5264787600 is about 72558.8561100573. The cubic root of 5264787600 is about 1739.6436051675.

The spelling of 5264787600 in words is "five billion, two hundred sixty-four million, seven hundred eighty-seven thousand, six hundred".