26200897632 has 576 divisors, whose sum is σ = 96817803264. Its totient is φ = 6785648640.

The previous prime is 26200897631. The next prime is 26200897633. The reversal of 26200897632 is 23679800262.

26200897632 is a `hidden beast` number, since 2 + 6 + 2 + 0 + 0 + 8 + 9 + 7 + 632 = 666.

It is an interprime number because it is at equal distance from previous prime (26200897631) and next prime (26200897633).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26200897631) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43164273 + ... + 43164879.

It is an arithmetic number, because the mean of its divisors is an integer number (168086464).

Almost surely, 2^26200897632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26200897632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48408901632).

26200897632 is an abundant number, since it is smaller than the sum of its proper divisors (70616905632).

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

26200897632 is a wasteful number, since it uses less digits than its factorization.

26200897632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 26200897632 in words is "twenty-six billion, two hundred million, eight hundred ninety-seven thousand, six hundred thirty-two".