5292764400 has 600 divisors, whose sum is σ = 21706360704. Its totient is φ = 1093209600.

The previous prime is 5292764381. The next prime is 5292764401. The reversal of 5292764400 is 44672925.

It is a tau number, because it is divible by the number of its divisors (600).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5292764401) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 31693117 + ... + 31693283.

Almost surely, 2^5292764400 is an apocalyptic number.

5292764400 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 5292764400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10853180352).

5292764400 is an abundant number, since it is smaller than the sum of its proper divisors (16413596304).

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

5292764400 is a wasteful number, since it uses less digits than its factorization.

5292764400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 5292764400 is about 72751.3876156325. The cubic root of 5292764400 is about 1742.7196207124.

The spelling of 5292764400 in words is "five billion, two hundred ninety-two million, seven hundred sixty-four thousand, four hundred".