26193141504 has 288 divisors, whose sum is σ = 80758440000. Its totient is φ = 8363851776.

The previous prime is 26193141433. The next prime is 26193141517. The reversal of 26193141504 is 40514139162.

It is a happy number.

26193141504 is a `hidden beast` number, since 2 + 6 + 1 + 9 + 3 + 141 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29866314 + ... + 29867190.

It is an arithmetic number, because the mean of its divisors is an integer number (280411250).

Almost surely, 2^26193141504 is an apocalyptic number.

26193141504 is a gapful number since it is divisible by the number (24) 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 26193141504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40379220000).

26193141504 is an abundant number, since it is smaller than the sum of its proper divisors (54565298496).

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

26193141504 is a wasteful number, since it uses less digits than its factorization.

26193141504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 26193141504 in words is "twenty-six billion, one hundred ninety-three million, one hundred forty-one thousand, five hundred four".