23953466880 has 640 divisors, whose sum is σ = 100439285760. Its totient is φ = 5295144960.

The previous prime is 23953466851. The next prime is 23953466899. The reversal of 23953466880 is 8866435932.

23953466880 is a `hidden beast` number, since 23 + 9 + 534 + 6 + 6 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14998242 + ... + 14999838.

It is an arithmetic number, because the mean of its divisors is an integer number (156936384).

Almost surely, 2^23953466880 is an apocalyptic number.

23953466880 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 23953466880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50219642880).

23953466880 is an abundant number, since it is smaller than the sum of its proper divisors (76485818880).

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

23953466880 is a wasteful number, since it uses less digits than its factorization.

23953466880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1667 (or 1645 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 23953466880 in words is "twenty-three billion, nine hundred fifty-three million, four hundred sixty-six thousand, eight hundred eighty".