23213310457680 has 240 divisors, whose sum is σ = 89102488325760. Its totient is φ = 5305447406592.

The previous prime is 23213310457669. The next prime is 23213310457709. The reversal of 23213310457680 is 8675401331232.

23213310457680 is a `hidden beast` number, since 2 + 3 + 2 + 133 + 1 + 0 + 457 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60839179 + ... + 61219541.

It is an arithmetic number, because the mean of its divisors is an integer number (371260368024).

Almost surely, 2^{23213310457680} is an apocalyptic number.

23213310457680 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 23213310457680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44551244162880).

23213310457680 is an abundant number, since it is smaller than the sum of its proper divisors (65889177868080).

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

23213310457680 is a wasteful number, since it uses less digits than its factorization.

23213310457680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392498 (or 392489 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 23213310457680 in words is "twenty-three trillion, two hundred thirteen billion, three hundred ten million, four hundred fifty-seven thousand, six hundred eighty".