26102813814 has 384 divisors, whose sum is σ = 78395520000. Its totient is φ = 6412633920.

The previous prime is 26102813791. The next prime is 26102813837. The reversal of 26102813814 is 41831820162.

26102813814 is a `hidden beast` number, since 2 + 610 + 2 + 8 + 1 + 38 + 1 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (26102813791) and next prime (26102813837).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 42581772 + ... + 42582384.

It is an arithmetic number, because the mean of its divisors is an integer number (204155000).

Almost surely, 2^26102813814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26102813814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39197760000).

26102813814 is an abundant number, since it is smaller than the sum of its proper divisors (52292706186).

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

26102813814 is a wasteful number, since it uses less digits than its factorization.

26102813814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 26102813814 in words is "twenty-six billion, one hundred two million, eight hundred thirteen thousand, eight hundred fourteen".