23638426560 has 896 divisors, whose sum is σ = 102494730240. Its totient is φ = 5005836288.

The previous prime is 23638426519. The next prime is 23638426583. The reversal of 23638426560 is 6562483632.

It is a happy number.

23638426560 is a `hidden beast` number, since 2 + 3 + 6 + 3 + 84 + 2 + 6 + 560 = 666.

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 127 ways as a sum of consecutive naturals, for example, 85337142 + ... + 85337418.

It is an arithmetic number, because the mean of its divisors is an integer number (114391440).

Almost surely, 2^23638426560 is an apocalyptic number.

23638426560 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 23638426560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51247365120).

23638426560 is an abundant number, since it is smaller than the sum of its proper divisors (78856303680).

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

23638426560 is a wasteful number, since it uses less digits than its factorization.

23638426560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 23638426560 in words is "twenty-three billion, six hundred thirty-eight million, four hundred twenty-six thousand, five hundred sixty".