26513079840 has 768 divisors, whose sum is σ = 104884899840. Its totient is φ = 6210846720.

The previous prime is 26513079781. The next prime is 26513079911. The reversal of 26513079840 is 4897031562.

26513079840 is a `hidden beast` number, since 2 + 6 + 513 + 0 + 7 + 98 + 40 = 666.

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 127 ways as a sum of consecutive naturals, for example, 168873042 + ... + 168873198.

It is an arithmetic number, because the mean of its divisors is an integer number (136568880).

It is a 1-persistent number, because it is pandigital, but 2⋅26513079840 = 53026159680 is not.

Almost surely, 2^26513079840 is an apocalyptic number.

26513079840 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 26513079840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52442449920).

26513079840 is an abundant number, since it is smaller than the sum of its proper divisors (78371820000).

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

26513079840 is a wasteful number, since it uses less digits than its factorization.

26513079840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 26513079840 in words is "twenty-six billion, five hundred thirteen million, seventy-nine thousand, eight hundred forty".