26353896791040 has 4224 divisors, whose sum is σ = 124222498283520. Its totient is φ = 5155278815232.

The previous prime is 26353896791029. The next prime is 26353896791041. The reversal of 26353896791040 is 4019769835362.

26353896791040 is a `hidden beast` number, since 2 + 6 + 3 + 538 + 9 + 6 + 7 + 91 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26353896791041) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 497243335654 + ... + 497243335706.

It is a 1-persistent number, because it is pandigital, but 2⋅26353896791040 = 52707793582080 is not.

Almost surely, 2^{26353896791040} is an apocalyptic number.

26353896791040 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 26353896791040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62111249141760).

26353896791040 is an abundant number, since it is smaller than the sum of its proper divisors (97868601492480).

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

26353896791040 is a wasteful number, since it uses less digits than its factorization.

26353896791040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 26353896791040 in words is "twenty-six trillion, three hundred fifty-three billion, eight hundred ninety-six million, seven hundred ninety-one thousand, forty".