23129368560 has 400 divisors, whose sum is σ = 84262464000. Its totient is φ = 5868910080.

The previous prime is 23129368541. The next prime is 23129368579. The reversal of 23129368560 is 6586392132.

23129368560 is a `hidden beast` number, since 2 + 3 + 1 + 29 + 3 + 68 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (23129368541) and next prime (23129368579).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 46351191 + ... + 46351689.

It is an arithmetic number, because the mean of its divisors is an integer number (210656160).

Almost surely, 2^23129368560 is an apocalyptic number.

23129368560 is a gapful number since it is divisible by the number (20) 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 23129368560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42131232000).

23129368560 is an abundant number, since it is smaller than the sum of its proper divisors (61133095440).

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

23129368560 is a wasteful number, since it uses less digits than its factorization.

23129368560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 23129368560 in words is "twenty-three billion, one hundred twenty-nine million, three hundred sixty-eight thousand, five hundred sixty".