10007826050 has 48 divisors (see below), whose sum is σ = 20389219560. Its totient is φ = 3637724160.

The previous prime is 10007826047. The next prime is 10007826077. The reversal of 10007826050 is 5062870001.

It can be written as a sum of positive squares in 12 ways, for example, as 1327363489 + 8680462561 = 36433^2 + 93169^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

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 23 ways as a sum of consecutive naturals, for example, 178349 + ... + 227648.

Almost surely, 2^10007826050 is an apocalyptic number.

10007826050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10007826050 is an abundant number, since it is smaller than the sum of its proper divisors (10381393510).

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

10007826050 is a wasteful number, since it uses less digits than its factorization.

10007826050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406055 (or 406050 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The spelling of 10007826050 in words is "ten billion, seven million, eight hundred twenty-six thousand, fifty".