23567072256 has 1408 divisors, whose sum is σ = 99042048000. Its totient is φ = 5350883328.

The previous prime is 23567072251. The next prime is 23567072261. The reversal of 23567072256 is 65227076532.

23567072256 is a `hidden beast` number, since 2 + 356 + 70 + 7 + 225 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (23567072251) and next prime (23567072261).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23567072251) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 812657650 + ... + 812657678.

Almost surely, 2^23567072256 is an apocalyptic number.

23567072256 is a gapful number since it is divisible by the number (26) 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 23567072256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49521024000).

23567072256 is an abundant number, since it is smaller than the sum of its proper divisors (75474975744).

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

23567072256 is a wasteful number, since it uses less digits than its factorization.

23567072256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 23567072256 in words is "twenty-three billion, five hundred sixty-seven million, seventy-two thousand, two hundred fifty-six".