26121388032 has 210 divisors, whose sum is σ = 78361756228. Its totient is φ = 8707129344.

The previous prime is 26121388003. The next prime is 26121388037. The reversal of 26121388032 is 23088312162.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (3!)¹³ ⋅ 2!.

26121388032 is a `hidden beast` number, since 2 + 612 + 1 + 3 + 8 + 8 + 0 + 32 = 666.

It is an ABA number since it can be written as A⋅B^A, here for A=12, B=6.

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

It is a nialpdrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (26121388037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 8707129343 + 8707129344 + 8707129345.

Almost surely, 2^26121388032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26121388032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39180878114).

26121388032 is an abundant number, since it is smaller than the sum of its proper divisors (52240368196).

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

26121388032 is an frugal number, since it uses more digits than its factorization.

26121388032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Multiplying 26121388032 by its product of nonzero digits (27648), we get a 8-th power (722204136308736 = 72⁸).

26121388032 divided by its product of nonzero digits (27648) gives a square (944784 = 972²).

The spelling of 26121388032 in words is "twenty-six billion, one hundred twenty-one million, three hundred eighty-eight thousand, thirty-two".