10230950009280 has 3584 divisors, whose sum is σ = 47899695513600. Its totient is φ = 1780442726400.

The previous prime is 10230950009263. The next prime is 10230950009303. The reversal of 10230950009280 is 8290005903201.

It is a super-2 number, since 2×10230950009280² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 59138439274 + ... + 59138439446.

It is an arithmetic number, because the mean of its divisors is an integer number (13364870400).

Almost surely, 2^{10230950009280} is an apocalyptic number.

10230950009280 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 10230950009280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23949847756800).

10230950009280 is an abundant number, since it is smaller than the sum of its proper divisors (37668745504320).

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

10230950009280 is a wasteful number, since it uses less digits than its factorization.

10230950009280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The spelling of 10230950009280 in words is "ten trillion, two hundred thirty billion, nine hundred fifty million, nine thousand, two hundred eighty".