23201687040 has 640 divisors, whose sum is σ = 91639848960. Its totient is φ = 4886888448.

The previous prime is 23201687021. The next prime is 23201687053. The reversal of 23201687040 is 4078610232.

It is a Cunningham number, because it is equal to 152321²-1.

It is a tau number, because it is divible by the number of its divisors (640).

It is a junction number, because it is equal to n+sod(n) for n = 23201686992 and 23201687010.

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, 48437521 + ... + 48437999.

It is an arithmetic number, because the mean of its divisors is an integer number (143187264).

Almost surely, 2^23201687040 is an apocalyptic number.

23201687040 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 23201687040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45819924480).

23201687040 is an abundant number, since it is smaller than the sum of its proper divisors (68438161920).

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

23201687040 is a wasteful number, since it uses less digits than its factorization.

23201687040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 23201687040 in words is "twenty-three billion, two hundred one million, six hundred eighty-seven thousand, forty".