23380853760 has 528 divisors, whose sum is σ = 89208587520. Its totient is φ = 5615124480.

The previous prime is 23380853687. The next prime is 23380853761. The reversal of 23380853760 is 6735808332.

23380853760 is a `hidden beast` number, since 2 + 33 + 80 + 8 + 537 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×23380853760² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23380853761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97827721 + ... + 97827959.

Almost surely, 2^23380853760 is an apocalyptic number.

23380853760 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 23380853760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44604293760).

23380853760 is an abundant number, since it is smaller than the sum of its proper divisors (65827733760).

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

23380853760 is a wasteful number, since it uses less digits than its factorization.

23380853760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 23380853760 in words is "twenty-three billion, three hundred eighty million, eight hundred fifty-three thousand, seven hundred sixty".