10229345280 has 1056 divisors, whose sum is σ = 46832739840. Its totient is φ = 2057011200.

The previous prime is 10229345279. The next prime is 10229345299. The reversal of 10229345280 is 8254392201.

It is a happy number.

10229345280 is a `hidden beast` number, since 10 + 2 + 29 + 345 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 329978865 + ... + 329978895.

Almost surely, 2^10229345280 is an apocalyptic number.

10229345280 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 10229345280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23416369920).

10229345280 is an abundant number, since it is smaller than the sum of its proper divisors (36603394560).

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

10229345280 is a wasteful number, since it uses less digits than its factorization.

10229345280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 10229345280 in words is "ten billion, two hundred twenty-nine million, three hundred forty-five thousand, two hundred eighty".