23407878284280 has 1152 divisors, whose sum is σ = 92491027200000. Its totient is φ = 5113490135040.

The previous prime is 23407878284279. The next prime is 23407878284317. The reversal of 23407878284280 is 8248287870432.

23407878284280 is a `hidden beast` number, since 2 + 3 + 4 + 0 + 7 + 8 + 78 + 284 + 280 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 287 ways as a sum of consecutive naturals, for example, 29743174047 + ... + 29743174833.

It is an arithmetic number, because the mean of its divisors is an integer number (80287350000).

Almost surely, 2^{23407878284280} is an apocalyptic number.

23407878284280 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 23407878284280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46245513600000).

23407878284280 is an abundant number, since it is smaller than the sum of its proper divisors (69083148915720).

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

23407878284280 is a wasteful number, since it uses less digits than its factorization.

23407878284280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1457 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 77070336, while the sum is 63.

The spelling of 23407878284280 in words is "twenty-three trillion, four hundred seven billion, eight hundred seventy-eight million, two hundred eighty-four thousand, two hundred eighty".