10247864000 has 224 divisors, whose sum is σ = 27984370752. Its totient is φ = 3686400000.

The previous prime is 10247863991. The next prime is 10247864041. The reversal of 10247864000 is 46874201.

10247864000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

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, 8887424 + ... + 8888576.

Almost surely, 2^10247864000 is an apocalyptic number.

10247864000 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 10247864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13992185376).

10247864000 is an abundant number, since it is smaller than the sum of its proper divisors (17736506752).

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

10247864000 is a wasteful number, since it uses less digits than its factorization.

10247864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The spelling of 10247864000 in words is "ten billion, two hundred forty-seven million, eight hundred sixty-four thousand".