26027671680 has 576 divisors, whose sum is σ = 97015464000. Its totient is φ = 6667702272.

The previous prime is 26027671667. The next prime is 26027671697. The reversal of 26027671680 is 8617672062.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 130792221 + ... + 130792419.

It is an arithmetic number, because the mean of its divisors is an integer number (168429625).

Almost surely, 2^26027671680 is an apocalyptic number.

26027671680 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 26027671680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48507732000).

26027671680 is an abundant number, since it is smaller than the sum of its proper divisors (70987792320).

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

26027671680 is an equidigital number, since it uses as much as digits as its factorization.

26027671680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 26027671680 in words is "twenty-six billion, twenty-seven million, six hundred seventy-one thousand, six hundred eighty".