26133649290 has 96 divisors (see below), whose sum is σ = 77754418560. Its totient is φ = 5965702272.

The previous prime is 26133649271. The next prime is 26133649337. The reversal of 26133649290 is 9294633162.

26133649290 is a `hidden beast` number, since 2 + 613 + 3 + 6 + 4 + 9 + 29 + 0 = 666.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 469456 + ... + 522164.

It is an arithmetic number, because the mean of its divisors is an integer number (809941860).

Almost surely, 2^26133649290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26133649290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38877209280).

26133649290 is an abundant number, since it is smaller than the sum of its proper divisors (51620769270).

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

26133649290 is a wasteful number, since it uses less digits than its factorization.

26133649290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53516 (or 53513 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 26133649290 in words is "twenty-six billion, one hundred thirty-three million, six hundred forty-nine thousand, two hundred ninety".