10233639360 has 448 divisors, whose sum is σ = 42276003840. Its totient is φ = 2281512960.

The previous prime is 10233639331. The next prime is 10233639371. The reversal of 10233639360 is 6393633201.

10233639360 is a `hidden beast` number, since 1 + 0 + 233 + 63 + 9 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 63 ways as a sum of consecutive naturals, for example, 2477617 + ... + 2481743.

It is an arithmetic number, because the mean of its divisors is an integer number (94366080).

Almost surely, 2^10233639360 is an apocalyptic number.

10233639360 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 10233639360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21138001920).

10233639360 is an abundant number, since it is smaller than the sum of its proper divisors (32042364480).

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

10233639360 is a wasteful number, since it uses less digits than its factorization.

10233639360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4201 (or 4185 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 36.

The spelling of 10233639360 in words is "ten billion, two hundred thirty-three million, six hundred thirty-nine thousand, three hundred sixty".