23780867654208 has 448 divisors, whose sum is σ = 73154855854080. Its totient is φ = 6677950169088.

The previous prime is 23780867654191. The next prime is 23780867654251. The reversal of 23780867654208 is 80245676808732.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13337558085 + ... + 13337559867.

It is an arithmetic number, because the mean of its divisors is an integer number (163292088960).

Almost surely, 2^{23780867654208} is an apocalyptic number.

23780867654208 is a gapful number since it is divisible by the number (28) 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 23780867654208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36577427927040).

23780867654208 is an abundant number, since it is smaller than the sum of its proper divisors (49373988199872).

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

23780867654208 is a wasteful number, since it uses less digits than its factorization.

23780867654208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2554 (or 2544 counting only the distinct ones).

The product of its (nonzero) digits is 216760320, while the sum is 66.

The spelling of 23780867654208 in words is "twenty-three trillion, seven hundred eighty billion, eight hundred sixty-seven million, six hundred fifty-four thousand, two hundred eight".