26681242500 has 360 divisors, whose sum is σ = 93370236960. Its totient is φ = 6367680000.

The previous prime is 26681242493. The next prime is 26681242519. The reversal of 26681242500 is 524218662.

It is a happy number.

26681242500 is a `hidden beast` number, since 26 + 6 + 8 + 124 + 2 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 16581696 + ... + 16583304.

Almost surely, 2^26681242500 is an apocalyptic number.

26681242500 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 26681242500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46685118480).

26681242500 is an abundant number, since it is smaller than the sum of its proper divisors (66688994460).

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

26681242500 is a wasteful number, since it uses less digits than its factorization.

26681242500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1717 (or 1697 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 26681242500 in words is "twenty-six billion, six hundred eighty-one million, two hundred forty-two thousand, five hundred".