26158672800 has 864 divisors, whose sum is σ = 107486870400. Its totient is φ = 5932523520.

The previous prime is 26158672747. The next prime is 26158672801. The reversal of 26158672800 is 827685162.

26158672800 is a `hidden beast` number, since 2 + 61 + 586 + 7 + 2 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (26158672801) 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 143 ways as a sum of consecutive naturals, for example, 62430991 + ... + 62431409.

It is an arithmetic number, because the mean of its divisors is an integer number (124406100).

Almost surely, 2^26158672800 is an apocalyptic number.

26158672800 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 26158672800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53743435200).

26158672800 is an abundant number, since it is smaller than the sum of its proper divisors (81328197600).

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

26158672800 is a wasteful number, since it uses less digits than its factorization.

26158672800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 26158672800 in words is "twenty-six billion, one hundred fifty-eight million, six hundred seventy-two thousand, eight hundred".