5295950100 has 720 divisors, whose sum is σ = 21294637056. Its totient is φ = 1111968000.

The previous prime is 5295950089. The next prime is 5295950117. The reversal of 5295950100 is 10595925.

5295950100 is a `hidden beast` number, since 52 + 9 + 595 + 0 + 10 + 0 = 666.

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 239 ways as a sum of consecutive naturals, for example, 40427035 + ... + 40427165.

Almost surely, 2^5295950100 is an apocalyptic number.

5295950100 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 5295950100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10647318528).

5295950100 is an abundant number, since it is smaller than the sum of its proper divisors (15998686956).

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

5295950100 is a wasteful number, since it uses less digits than its factorization.

5295950100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 20250, while the sum is 36.

The square root of 5295950100 is about 72773.2787498268. The cubic root of 5295950100 is about 1743.0691965976.

The spelling of 5295950100 in words is "five billion, two hundred ninety-five million, nine hundred fifty thousand, one hundred".