23527146240 has 432 divisors, whose sum is σ = 88424813568. Its totient is φ = 5741051904.

The previous prime is 23527146221. The next prime is 23527146271. The reversal of 23527146240 is 4264172532.

23527146240 is a `hidden beast` number, since 2 + 3 + 5 + 27 + 1 + 4 + 624 + 0 = 666.

It is a super-2 number, since 2×23527146240² (a number of 22 digits) contains 22 as substring.

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 = 23527146195 and 23527146204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19018902 + ... + 19020138.

Almost surely, 2^23527146240 is an apocalyptic number.

23527146240 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 23527146240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44212406784).

23527146240 is an abundant number, since it is smaller than the sum of its proper divisors (64897667328).

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

23527146240 is a wasteful number, since it uses less digits than its factorization.

23527146240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 23527146240 in words is "twenty-three billion, five hundred twenty-seven million, one hundred forty-six thousand, two hundred forty".