10023186240 has 336 divisors, whose sum is σ = 36206509248. Its totient is φ = 2638946304.

The previous prime is 10023186221. The next prime is 10023186347. The reversal of 10023186240 is 4268132001.

10023186240 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 31 + 8 + 624 + 0 = 666.

10023186240 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 (27).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 6453304 + ... + 6454856.

It is an arithmetic number, because the mean of its divisors is an integer number (107757468).

Almost surely, 2^10023186240 is an apocalyptic number.

10023186240 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 10023186240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18103254624).

10023186240 is an abundant number, since it is smaller than the sum of its proper divisors (26183323008).

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

10023186240 is an equidigital number, since it uses as much as digits as its factorization.

10023186240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668 (or 1646 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 10023186240 in words is "ten billion, twenty-three million, one hundred eighty-six thousand, two hundred forty".