26160626520 has 384 divisors, whose sum is σ = 105053644800. Its totient is φ = 5511379968.

The previous prime is 26160626473. The next prime is 26160626537. The reversal of 26160626520 is 2562606162.

26160626520 is a `hidden beast` number, since 2 + 6 + 1 + 6 + 0 + 626 + 5 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1764177 + ... + 1778943.

It is an arithmetic number, because the mean of its divisors is an integer number (273577200).

Almost surely, 2^26160626520 is an apocalyptic number.

26160626520 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 26160626520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52526822400).

26160626520 is an abundant number, since it is smaller than the sum of its proper divisors (78893018280).

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

26160626520 is a wasteful number, since it uses less digits than its factorization.

26160626520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14847 (or 14840 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 26160626520 in words is "twenty-six billion, one hundred sixty million, six hundred twenty-six thousand, five hundred twenty".