23025950878560 has 768 divisors, whose sum is σ = 85916978380800. Its totient is φ = 5074727583744.

The previous prime is 23025950878531. The next prime is 23025950878583. The reversal of 23025950878560 is 6587805952032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 23025950878494 and 23025950878503.

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 127 ways as a sum of consecutive naturals, for example, 6524778876 + ... + 6524782404.

It is an arithmetic number, because the mean of its divisors is an integer number (111871065600).

Almost surely, 2^{23025950878560} is an apocalyptic number.

23025950878560 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 23025950878560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42958489190400).

23025950878560 is an abundant number, since it is smaller than the sum of its proper divisors (62891027502240).

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

23025950878560 is a wasteful number, since it uses less digits than its factorization.

23025950878560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4203 (or 4195 counting only the distinct ones).

The product of its (nonzero) digits is 36288000, while the sum is 60.

The spelling of 23025950878560 in words is "twenty-three trillion, twenty-five billion, nine hundred fifty million, eight hundred seventy-eight thousand, five hundred sixty".