10223462907720 has 512 divisors, whose sum is σ = 34773774336000. Its totient is φ = 2671156776960.

The previous prime is 10223462907703. The next prime is 10223462907737. The reversal of 10223462907720 is 2770926432201.

10223462907720 is a `hidden beast` number, since 10 + 2 + 2 + 3 + 4 + 629 + 0 + 7 + 7 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10223462907703) and next prime (10223462907737).

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 127 ways as a sum of consecutive naturals, for example, 12185295061 + ... + 12185295899.

It is an arithmetic number, because the mean of its divisors is an integer number (67917528000).

Almost surely, 2^{10223462907720} is an apocalyptic number.

10223462907720 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 10223462907720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17386887168000).

10223462907720 is an abundant number, since it is smaller than the sum of its proper divisors (24550311428280).

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

10223462907720 is a wasteful number, since it uses less digits than its factorization.

10223462907720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1730 (or 1720 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 10223462907720 in words is "ten trillion, two hundred twenty-three billion, four hundred sixty-two million, nine hundred seven thousand, seven hundred twenty".