26872690680 has 256 divisors, whose sum is σ = 100104076800. Its totient is φ = 6355584000.

The previous prime is 26872690673. The next prime is 26872690697. The reversal of 26872690680 is 8609627862.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 459495 + ... + 514665.

It is an arithmetic number, because the mean of its divisors is an integer number (391031550).

Almost surely, 2^26872690680 is an apocalyptic number.

26872690680 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 26872690680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50052038400).

26872690680 is an abundant number, since it is smaller than the sum of its proper divisors (73231386120).

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

26872690680 is a wasteful number, since it uses less digits than its factorization.

26872690680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55243 (or 55233 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 26872690680 in words is "twenty-six billion, eight hundred seventy-two million, six hundred ninety thousand, six hundred eighty".