23584152240 has 640 divisors, whose sum is σ = 92144102400. Its totient is φ = 5494210560.

The previous prime is 23584152233. The next prime is 23584152259. The reversal of 23584152240 is 4225148532.

23584152240 is a `hidden beast` number, since 2 + 3 + 58 + 41 + 522 + 40 = 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 = 23584152195 and 23584152204.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 122197584 + ... + 122197776.

It is an arithmetic number, because the mean of its divisors is an integer number (143975160).

Almost surely, 2^23584152240 is an apocalyptic number.

23584152240 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 23584152240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46072051200).

23584152240 is an abundant number, since it is smaller than the sum of its proper divisors (68559950160).

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

23584152240 is a wasteful number, since it uses less digits than its factorization.

23584152240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 23584152240 in words is "twenty-three billion, five hundred eighty-four million, one hundred fifty-two thousand, two hundred forty".