23245260480 has 504 divisors, whose sum is σ = 87405868368. Its totient is φ = 5667397632.

The previous prime is 23245260443. The next prime is 23245260481. The reversal of 23245260480 is 8406254232.

23245260480 is a `hidden beast` number, since 2 + 3 + 2 + 45 + 2 + 604 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (23245260481) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 79335214 + ... + 79335506.

It is an arithmetic number, because the mean of its divisors is an integer number (173424342).

Almost surely, 2^23245260480 is an apocalyptic number.

23245260480 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 23245260480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43702934184).

23245260480 is an abundant number, since it is smaller than the sum of its proper divisors (64160607888).

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

23245260480 is a wasteful number, since it uses less digits than its factorization.

23245260480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 23245260480 in words is "twenty-three billion, two hundred forty-five million, two hundred sixty thousand, four hundred eighty".