26850505500 has 1728 divisors, whose sum is σ = 122346806400. Its totient is φ = 4877107200.

The previous prime is 26850505427. The next prime is 26850505501. The reversal of 26850505500 is 550505862.

26850505500 is a `hidden beast` number, since 2 + 6 + 8 + 50 + 50 + 550 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26850505501) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 925879486 + ... + 925879514.

It is an arithmetic number, because the mean of its divisors is an integer number (70802550).

Almost surely, 2^26850505500 is an apocalyptic number.

26850505500 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 26850505500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61173403200).

26850505500 is an abundant number, since it is smaller than the sum of its proper divisors (95496300900).

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

26850505500 is a wasteful number, since it uses less digits than its factorization.

26850505500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 26850505500 in words is "twenty-six billion, eight hundred fifty million, five hundred five thousand, five hundred".