23278079870976 has 768 divisors, whose sum is σ = 74452525056000. Its totient is φ = 6327667261440.

The previous prime is 23278079870951. The next prime is 23278079871073. The reversal of 23278079870976 is 67907897087232.

It is a tau number, because it is divible by the number of its divisors (768).

It is a junction number, because it is equal to n+sod(n) for n = 23278079870898 and 23278079870907.

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 63 ways as a sum of consecutive naturals, for example, 28353324646 + ... + 28353325466.

It is an arithmetic number, because the mean of its divisors is an integer number (96943392000).

Almost surely, 2^{23278079870976} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23278079870976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37226262528000).

23278079870976 is an abundant number, since it is smaller than the sum of its proper divisors (51174445185024).

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

23278079870976 is a wasteful number, since it uses less digits than its factorization.

23278079870976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 896168448, while the sum is 75.

The spelling of 23278079870976 in words is "twenty-three trillion, two hundred seventy-eight billion, seventy-nine million, eight hundred seventy thousand, nine hundred seventy-six".