26630566331040 has 960 divisors, whose sum is σ = 110501099444736. Its totient is φ = 5914045882368.

The previous prime is 26630566331021. The next prime is 26630566331137. The reversal of 26630566331040 is 4013366503662.

26630566331040 is a `hidden beast` number, since 2 + 6 + 6 + 3 + 0 + 5 + 6 + 633 + 1 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×26630566331040² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 495213594 + ... + 495267366.

Almost surely, 2^{26630566331040} is an apocalyptic number.

26630566331040 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 26630566331040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55250549722368).

26630566331040 is an abundant number, since it is smaller than the sum of its proper divisors (83870533113696).

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

26630566331040 is a wasteful number, since it uses less digits than its factorization.

26630566331040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53963 (or 53946 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 45.

The spelling of 26630566331040 in words is "twenty-six trillion, six hundred thirty billion, five hundred sixty-six million, three hundred thirty-one thousand, forty".