13023188640 has 1536 divisors, whose sum is σ = 62705664000. Its totient is φ = 2492743680.

The previous prime is 13023188579. The next prime is 13023188671. The reversal of 13023188640 is 4688132031.

13023188640 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 3 + 1 + 8 + 8 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13023188595 and 13023188604.

It is a congruent number.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 277089097 + ... + 277089143.

It is an arithmetic number, because the mean of its divisors is an integer number (40824000).

Almost surely, 2^13023188640 is an apocalyptic number.

13023188640 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 13023188640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31352832000).

13023188640 is an abundant number, since it is smaller than the sum of its proper divisors (49682475360).

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

13023188640 is a wasteful number, since it uses less digits than its factorization.

13023188640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 13023188640 in words is "thirteen billion, twenty-three million, one hundred eighty-eight thousand, six hundred forty".