10247796000 has 576 divisors, whose sum is σ = 40667792256. Its totient is φ = 2519424000.

The previous prime is 10247795969. The next prime is 10247796019. The reversal of 10247796000 is 69774201.

It is a happy number.

10247796000 is a `hidden beast` number, since 1 + 0 + 2 + 47 + 7 + 9 + 600 + 0 = 666.

It is a super-3 number, since 3×10247796000³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12635595 + ... + 12636405.

It is an arithmetic number, because the mean of its divisors is an integer number (70603806).

Almost surely, 2^10247796000 is an apocalyptic number.

10247796000 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 10247796000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20333896128).

10247796000 is an abundant number, since it is smaller than the sum of its proper divisors (30419996256).

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

10247796000 is an equidigital number, since it uses as much as digits as its factorization.

10247796000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 10247796000 in words is "ten billion, two hundred forty-seven million, seven hundred ninety-six thousand".