26340587183040 has 896 divisors, whose sum is σ = 94984840581120. Its totient is φ = 6138961920000.

The previous prime is 26340587182969. The next prime is 26340587183051. The reversal of 26340587183040 is 4038178504362.

It is a happy number.

It is a super-2 number, since 2×26340587183040² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

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, 8102301415 + ... + 8102304665.

It is an arithmetic number, because the mean of its divisors is an integer number (106009866720).

Almost surely, 2^{26340587183040} is an apocalyptic number.

26340587183040 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 26340587183040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47492420290560).

26340587183040 is an abundant number, since it is smaller than the sum of its proper divisors (68644253398080).

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

26340587183040 is a wasteful number, since it uses less digits than its factorization.

26340587183040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3741 (or 3731 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 26340587183040 in words is "twenty-six trillion, three hundred forty billion, five hundred eighty-seven million, one hundred eighty-three thousand, forty".