10230561720 has 192 divisors, whose sum is σ = 35121715200. Its totient is φ = 2578625280.

The previous prime is 10230561703. The next prime is 10230561787. The reversal of 10230561720 is 2716503201.

It is a happy number.

10230561720 is a `hidden beast` number, since 1 + 0 + 2 + 30 + 561 + 72 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 469221 + ... + 490539.

It is an arithmetic number, because the mean of its divisors is an integer number (182925600).

Almost surely, 2^10230561720 is an apocalyptic number.

10230561720 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 10230561720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17560857600).

10230561720 is an abundant number, since it is smaller than the sum of its proper divisors (24891153480).

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

10230561720 is a wasteful number, since it uses less digits than its factorization.

10230561720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21410 (or 21403 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

It can be divided in two parts, 102305 and 61720, that added together give a square (164025 = 405²).

The spelling of 10230561720 in words is "ten billion, two hundred thirty million, five hundred sixty-one thousand, seven hundred twenty".