26293617023040 has 1568 divisors, whose sum is σ = 103043780622720. Its totient is φ = 6363944091648.

The previous prime is 26293617022931. The next prime is 26293617023071. The reversal of 26293617023040 is 4032071639262.

26293617023040 is a `hidden beast` number, since 2 + 6 + 2 + 9 + 3 + 617 + 0 + 23 + 0 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 10987720084 + ... + 10987722476.

Almost surely, 2^{26293617023040} is an apocalyptic number.

26293617023040 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 26293617023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51521890311360).

26293617023040 is an abundant number, since it is smaller than the sum of its proper divisors (76750163599680).

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

26293617023040 is a wasteful number, since it uses less digits than its factorization.

26293617023040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2551 (or 2526 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 26293617023040 in words is "twenty-six trillion, two hundred ninety-three billion, six hundred seventeen million, twenty-three thousand, forty".