26746520087100 has 288 divisors, whose sum is σ = 88675684392960. Its totient is φ = 6161015520000.

The previous prime is 26746520087083. The next prime is 26746520087129. The reversal of 26746520087100 is 178002564762.

It is a self number, because there is not a number n which added to its sum of digits gives 26746520087100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10294041 + ... + 12627759.

It is an arithmetic number, because the mean of its divisors is an integer number (307901681920).

Almost surely, 2^{26746520087100} is an apocalyptic number.

26746520087100 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 26746520087100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44337842196480).

26746520087100 is an abundant number, since it is smaller than the sum of its proper divisors (61929164305860).

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

26746520087100 is a wasteful number, since it uses less digits than its factorization.

26746520087100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2333921 (or 2333914 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 26746520087100 in words is "twenty-six trillion, seven hundred forty-six billion, five hundred twenty million, eighty-seven thousand, one hundred".