26369083890240 has 896 divisors, whose sum is σ = 103551780541440. Its totient is φ = 5536157663232.

The previous prime is 26369083890173. The next prime is 26369083890257. The reversal of 26369083890240 is 4209838096362.

It is a happy number.

It is a super-3 number, since 3×26369083890240³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24667056426 + ... + 24667057494.

It is an arithmetic number, because the mean of its divisors is an integer number (115571183640).

Almost surely, 2^{26369083890240} is an apocalyptic number.

26369083890240 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 26369083890240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51775890270720).

26369083890240 is an abundant number, since it is smaller than the sum of its proper divisors (77182696651200).

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

26369083890240 is a wasteful number, since it uses less digits than its factorization.

26369083890240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2239 (or 2229 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 60.

The spelling of 26369083890240 in words is "twenty-six trillion, three hundred sixty-nine billion, eighty-three million, eight hundred ninety thousand, two hundred forty".