10075522500 has 240 divisors, whose sum is σ = 33190375680. Its totient is φ = 2641680000.

The previous prime is 10075522489. The next prime is 10075522517. The reversal of 10075522500 is 522557001.

It is a happy number.

10075522500 is a `hidden beast` number, since 100 + 7 + 5 + 52 + 2 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4116277 + ... + 4118723.

It is an arithmetic number, because the mean of its divisors is an integer number (138293232).

Almost surely, 2^10075522500 is an apocalyptic number.

10075522500 is a gapful number since it is divisible by the number (10) 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 10075522500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16595187840).

10075522500 is an abundant number, since it is smaller than the sum of its proper divisors (23114853180).

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

10075522500 is a wasteful number, since it uses less digits than its factorization.

10075522500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2541 (or 2518 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The spelling of 10075522500 in words is "ten billion, seventy-five million, five hundred twenty-two thousand, five hundred".