26676690899040 has 1152 divisors, whose sum is σ = 115226431407360. Its totient is φ = 5468937191424.

The previous prime is 26676690898927. The next prime is 26676690899041. The reversal of 26676690899040 is 4099809667662.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 26676690899040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26676690899041) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4019386602 + ... + 4019393238.

It is an arithmetic number, because the mean of its divisors is an integer number (100022943930).

Almost surely, 2^{26676690899040} is an apocalyptic number.

26676690899040 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 26676690899040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57613215703680).

26676690899040 is an abundant number, since it is smaller than the sum of its proper divisors (88549740508320).

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

26676690899040 is a wasteful number, since it uses less digits than its factorization.

26676690899040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7544 (or 7533 counting only the distinct ones).

The product of its (nonzero) digits is 423263232, while the sum is 72.

The spelling of 26676690899040 in words is "twenty-six trillion, six hundred seventy-six billion, six hundred ninety million, eight hundred ninety-nine thousand, forty".