26652960000 has 540 divisors, whose sum is σ = 97620851328. Its totient is φ = 6990336000.

The previous prime is 26652959987. The next prime is 26652960097. The reversal of 26652960000 is 6925662.

26652960000 is a `hidden beast` number, since 26 + 6 + 5 + 29 + 600 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 119519889 + ... + 119520111.

Almost surely, 2^26652960000 is an apocalyptic number.

26652960000 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 26652960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48810425664).

26652960000 is an abundant number, since it is smaller than the sum of its proper divisors (70967891328).

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

26652960000 is an equidigital number, since it uses as much as digits as its factorization.

26652960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 26652960000 in words is "twenty-six billion, six hundred fifty-two million, nine hundred sixty thousand".