10249294860 has 144 divisors (see below), whose sum is σ = 35605979136. Its totient is φ = 2337745536.

The previous prime is 10249294859. The next prime is 10249294897. The reversal of 10249294860 is 6849294201.

10249294860 is a `hidden beast` number, since 10 + 2 + 492 + 94 + 8 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 605269 + ... + 621971.

It is an arithmetic number, because the mean of its divisors is an integer number (247263744).

Almost surely, 2^10249294860 is an apocalyptic number.

10249294860 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 10249294860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17802989568).

10249294860 is an abundant number, since it is smaller than the sum of its proper divisors (25356684276).

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

10249294860 is a wasteful number, since it uses less digits than its factorization.

10249294860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17212 (or 17207 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 10249294860 in words is "ten billion, two hundred forty-nine million, two hundred ninety-four thousand, eight hundred sixty".