10249007736 has 128 divisors (see below), whose sum is σ = 30883161600. Its totient is φ = 2795950080.

The previous prime is 10249007707. The next prime is 10249007737. The reversal of 10249007736 is 63770094201.

10249007736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10249007694 and 10249007703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10249007737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53580 + ... + 152868.

It is an arithmetic number, because the mean of its divisors is an integer number (241274700).

Almost surely, 2^10249007736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10249007736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15441580800).

10249007736 is an abundant number, since it is smaller than the sum of its proper divisors (20634153864).

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

10249007736 is a wasteful number, since it uses less digits than its factorization.

10249007736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99349 (or 99345 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The spelling of 10249007736 in words is "ten billion, two hundred forty-nine million, seven thousand, seven hundred thirty-six".