5295052540800 has 864 divisors, whose sum is σ = 21061229651280. Its totient is φ = 1265510400000.

The previous prime is 5295052540783. The next prime is 5295052540853. The reversal of 5295052540800 is 80452505925.

5295052540800 is a `hidden beast` number, since 5 + 2 + 9 + 5 + 0 + 525 + 40 + 80 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 247410100 + ... + 247431500.

Almost surely, 2^{5295052540800} is an apocalyptic number.

5295052540800 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 5295052540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10530614825640).

5295052540800 is an abundant number, since it is smaller than the sum of its proper divisors (15766177110480).

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

5295052540800 is a wasteful number, since it uses less digits than its factorization.

5295052540800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21524 (or 21493 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 45.

The spelling of 5295052540800 in words is "five trillion, two hundred ninety-five billion, fifty-two million, five hundred forty thousand, eight hundred".