26261723520 has 192 divisors, whose sum is σ = 91834516800. Its totient is φ = 6914359296.

The previous prime is 26261723519. The next prime is 26261723533. The reversal of 26261723520 is 2532716262.

26261723520 is a `hidden beast` number, since 2 + 6 + 2 + 61 + 72 + 3 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 426184 + ... + 483896.

It is an arithmetic number, because the mean of its divisors is an integer number (478304775).

Almost surely, 2^26261723520 is an apocalyptic number.

26261723520 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 26261723520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45917258400).

26261723520 is an abundant number, since it is smaller than the sum of its proper divisors (65572793280).

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

26261723520 is a wasteful number, since it uses less digits than its factorization.

26261723520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57817 (or 57802 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 26261723520 in words is "twenty-six billion, two hundred sixty-one million, seven hundred twenty-three thousand, five hundred twenty".