26760132000 has 1536 divisors, whose sum is σ = 123785625600. Its totient is φ = 5542732800.

The previous prime is 26760131969. The next prime is 26760132011. The reversal of 26760132000 is 23106762.

It is a happy number.

26760132000 is a `hidden beast` number, since 26 + 7 + 601 + 32 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×26760132000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1163483989 + ... + 1163484011.

It is an arithmetic number, because the mean of its divisors is an integer number (80589600).

Almost surely, 2^26760132000 is an apocalyptic number.

26760132000 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 26760132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61892812800).

26760132000 is an abundant number, since it is smaller than the sum of its proper divisors (97025493600).

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

26760132000 is an equidigital number, since it uses as much as digits as its factorization.

26760132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

Adding to 26760132000 its reverse (23106762), we get a palindrome (26783238762).

The spelling of 26760132000 in words is "twenty-six billion, seven hundred sixty million, one hundred thirty-two thousand".