10075626500 has 48 divisors (see below), whose sum is σ = 22075815216. Its totient is φ = 4017312000.

The previous prime is 10075626497. The next prime is 10075626557. The reversal of 10075626500 is 562657001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5473632256 + 4601994244 = 73984^2 + 67838^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124310 + ... + 188690.

It is an arithmetic number, because the mean of its divisors is an integer number (459912817).

Almost surely, 2^10075626500 is an apocalyptic number.

10075626500 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 10075626500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11037907608).

10075626500 is an abundant number, since it is smaller than the sum of its proper divisors (12000188716).

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

10075626500 is a wasteful number, since it uses less digits than its factorization.

10075626500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64713 (or 64701 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 32.

The spelling of 10075626500 in words is "ten billion, seventy-five million, six hundred twenty-six thousand, five hundred".