26432949321504 has 432 divisors, whose sum is σ = 82902196016640. Its totient is φ = 7983020390400.

The previous prime is 26432949321503. The next prime is 26432949321631. The reversal of 26432949321504 is 40512394923462.

It is a happy number.

26432949321504 is a `hidden beast` number, since 2 + 6 + 4 + 3 + 29 + 4 + 93 + 21 + 504 = 666.

It is not an unprimeable number, because it can be changed into a prime (26432949321503) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21472744569 + ... + 21472745799.

It is an arithmetic number, because the mean of its divisors is an integer number (191903231520).

Almost surely, 2^{26432949321504} is an apocalyptic number.

26432949321504 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 26432949321504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41451098008320).

26432949321504 is an abundant number, since it is smaller than the sum of its proper divisors (56469246695136).

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

26432949321504 is a wasteful number, since it uses less digits than its factorization.

26432949321504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2845 (or 2823 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 26432949321504 in words is "twenty-six trillion, four hundred thirty-two billion, nine hundred forty-nine million, three hundred twenty-one thousand, five hundred four".