10229023213560 has 768 divisors, whose sum is σ = 36342295142400. Its totient is φ = 2487614976000.

The previous prime is 10229023213511. The next prime is 10229023213567. The reversal of 10229023213560 is 6531232092201.

10229023213560 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 90 + 2 + 3 + 2 + 1 + 3 + 560 = 666.

10229023213560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10229023213567) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5936750859 + ... + 5936752581.

It is an arithmetic number, because the mean of its divisors is an integer number (47320696800).

Almost surely, 2^{10229023213560} is an apocalyptic number.

10229023213560 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 10229023213560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18171147571200).

10229023213560 is an abundant number, since it is smaller than the sum of its proper divisors (26113271928840).

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

10229023213560 is a wasteful number, since it uses less digits than its factorization.

10229023213560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2124 (or 2117 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 10229023213560 in words is "ten trillion, two hundred twenty-nine billion, twenty-three million, two hundred thirteen thousand, five hundred sixty".