10229565265920 has 4608 divisors, whose sum is σ = 50827585536000. Its totient is φ = 1872809164800.

The previous prime is 10229565265877. The next prime is 10229565265921. The reversal of 10229565265920 is 2956256592201.

It is a happy number.

10229565265920 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 9 + 565 + 2 + 6 + 59 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10229565265921) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 140131031004 + ... + 140131031076.

It is an arithmetic number, because the mean of its divisors is an integer number (11030292000).

Almost surely, 2^{10229565265920} is an apocalyptic number.

10229565265920 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 10229565265920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25413792768000).

10229565265920 is an abundant number, since it is smaller than the sum of its proper divisors (40598020270080).

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

10229565265920 is a wasteful number, since it uses less digits than its factorization.

10229565265920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 10229565265920 in words is "ten trillion, two hundred twenty-nine billion, five hundred sixty-five million, two hundred sixty-five thousand, nine hundred twenty".