26623089864 has 192 divisors, whose sum is σ = 87070464000. Its totient is φ = 7178958720.

The previous prime is 26623089847. The next prime is 26623089869. The reversal of 26623089864 is 46898032662.

26623089864 is a `hidden beast` number, since 2 + 6 + 623 + 0 + 8 + 9 + 8 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 26623089864.

It is not an unprimeable number, because it can be changed into a prime (26623089869) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2589967 + ... + 2600225.

It is an arithmetic number, because the mean of its divisors is an integer number (453492000).

Almost surely, 2^26623089864 is an apocalyptic number.

26623089864 is a gapful number since it is divisible by the number (24) 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 26623089864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43535232000).

26623089864 is an abundant number, since it is smaller than the sum of its proper divisors (60447374136).

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

26623089864 is a wasteful number, since it uses less digits than its factorization.

26623089864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10568 (or 10561 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 26623089864 in words is "twenty-six billion, six hundred twenty-three million, eighty-nine thousand, eight hundred sixty-four".