23105150640 has 1280 divisors, whose sum is σ = 102393446400. Its totient is φ = 4702924800.

The previous prime is 23105150591. The next prime is 23105150669. The reversal of 23105150640 is 4605150132.

23105150640 is a `hidden beast` number, since 2 + 3 + 1 + 0 + 5 + 15 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 181930257 + ... + 181930383.

It is an arithmetic number, because the mean of its divisors is an integer number (79994880).

Almost surely, 2^23105150640 is an apocalyptic number.

23105150640 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 23105150640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51196723200).

23105150640 is an abundant number, since it is smaller than the sum of its proper divisors (79288295760).

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

23105150640 is a wasteful number, since it uses less digits than its factorization.

23105150640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 23105150640 in words is "twenty-three billion, one hundred five million, one hundred fifty thousand, six hundred forty".