26381168640 has 832 divisors, whose sum is σ = 103167283200. Its totient is φ = 6449725440.

The previous prime is 26381168623. The next prime is 26381168641. The reversal of 26381168640 is 4686118362.

26381168640 is a `hidden beast` number, since 2 + 638 + 1 + 1 + 6 + 8 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26381168641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 851005425 + ... + 851005455.

Almost surely, 2^26381168640 is an apocalyptic number.

26381168640 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 26381168640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51583641600).

26381168640 is an abundant number, since it is smaller than the sum of its proper divisors (76786114560).

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

26381168640 is an frugal number, since it uses more digits than its factorization.

26381168640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 26381168640 in words is "twenty-six billion, three hundred eighty-one million, one hundred sixty-eight thousand, six hundred forty".