26542391040 has 1080 divisors, whose sum is σ = 112747097232. Its totient is φ = 5892341760.

The previous prime is 26542391021. The next prime is 26542391041. The reversal of 26542391040 is 4019324562.

It is a happy number.

26542391040 is a `hidden beast` number, since 2 + 6 + 542 + 3 + 9 + 104 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is a junction number, because it is equal to n+sod(n) for n = 26542390986 and 26542391004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26542391041) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 717361902 + ... + 717361938.

Almost surely, 2^26542391040 is an apocalyptic number.

26542391040 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 26542391040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56373548616).

26542391040 is an abundant number, since it is smaller than the sum of its proper divisors (86204706192).

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

26542391040 is a wasteful number, since it uses less digits than its factorization.

26542391040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 26542391040 in words is "twenty-six billion, five hundred forty-two million, three hundred ninety-one thousand, forty".