23452097760 has 864 divisors, whose sum is σ = 103116398112. Its totient is φ = 4807434240.

The previous prime is 23452097719. The next prime is 23452097833. The reversal of 23452097760 is 6779025432.

23452097760 is a `hidden beast` number, since 2 + 34 + 520 + 97 + 7 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 143 ways as a sum of consecutive naturals, for example, 33939015 + ... + 33939705.

It is an arithmetic number, because the mean of its divisors is an integer number (119347683).

Almost surely, 2^23452097760 is an apocalyptic number.

23452097760 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 23452097760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51558199056).

23452097760 is an abundant number, since it is smaller than the sum of its proper divisors (79664300352).

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

23452097760 is a wasteful number, since it uses less digits than its factorization.

23452097760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 23452097760 in words is "twenty-three billion, four hundred fifty-two million, ninety-seven thousand, seven hundred sixty".