26046566864640 has 864 divisors, whose sum is σ = 104139135539712. Its totient is φ = 5887365120000.

The previous prime is 26046566864627. The next prime is 26046566864687. The reversal of 26046566864640 is 4646866564062.

26046566864640 is a `hidden beast` number, since 2 + 6 + 0 + 4 + 6 + 566 + 8 + 6 + 4 + 64 + 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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9537372075 + ... + 9537374805.

Almost surely, 2^{26046566864640} is an apocalyptic number.

26046566864640 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 26046566864640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52069567769856).

26046566864640 is an abundant number, since it is smaller than the sum of its proper divisors (78092568675072).

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

26046566864640 is a wasteful number, since it uses less digits than its factorization.

26046566864640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4037 (or 4020 counting only the distinct ones).

The product of its (nonzero) digits is 238878720, while the sum is 63.

The spelling of 26046566864640 in words is "twenty-six trillion, forty-six billion, five hundred sixty-six million, eight hundred sixty-four thousand, six hundred forty".