26507839680 has 672 divisors, whose sum is σ = 110266764480. Its totient is φ = 6051096576.

The previous prime is 26507839613. The next prime is 26507839703. The reversal of 26507839680 is 8693870562.

It is a happy number.

26507839680 is a `hidden beast` number, since 26 + 507 + 8 + 39 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34291774 + ... + 34292546.

Almost surely, 2^26507839680 is an apocalyptic number.

26507839680 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 26507839680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55133382240).

26507839680 is an abundant number, since it is smaller than the sum of its proper divisors (83758924800).

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

26507839680 is an frugal number, since it uses more digits than its factorization.

26507839680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 26507839680 in words is "twenty-six billion, five hundred seven million, eight hundred thirty-nine thousand, six hundred eighty".