23352153440 has 384 divisors, whose sum is σ = 71066419200. Its totient is φ = 7187712000.

The previous prime is 23352153439. The next prime is 23352153499. The reversal of 23352153440 is 4435125332.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 23352153397 and 23352153406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60971489 + ... + 60971871.

It is an arithmetic number, because the mean of its divisors is an integer number (185068800).

Almost surely, 2^23352153440 is an apocalyptic number.

23352153440 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 23352153440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35533209600).

23352153440 is an abundant number, since it is smaller than the sum of its proper divisors (47714265760).

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

23352153440 is a wasteful number, since it uses less digits than its factorization.

23352153440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 32.

Adding to 23352153440 its reverse (4435125332), we get a palindrome (27787278772).

The spelling of 23352153440 in words is "twenty-three billion, three hundred fifty-two million, one hundred fifty-three thousand, four hundred forty".