5295435264 has 800 divisors, whose sum is σ = 20320217280. Its totient is φ = 1337720832.

The previous prime is 5295435263. The next prime is 5295435289. The reversal of 5295435264 is 4625345925.

5295435264 is a `hidden beast` number, since 5 + 295 + 4 + 352 + 6 + 4 = 666.

Its product of digits (1296000) is a multiple of the sum of its prime factors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5295435263) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 143119854 + ... + 143119890.

Almost surely, 2^5295435264 is an apocalyptic number.

5295435264 is a gapful number since it is divisible by the number (54) 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 5295435264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10160108640).

5295435264 is an abundant number, since it is smaller than the sum of its proper divisors (15024782016).

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

5295435264 is a wasteful number, since it uses less digits than its factorization.

5295435264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 95 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 45.

The square root of 5295435264 is about 72769.7414039654. The cubic root of 5295435264 is about 1743.0127116838.

The spelling of 5295435264 in words is "five billion, two hundred ninety-five million, four hundred thirty-five thousand, two hundred sixty-four".