26012741964800 has 132 divisors (see below), whose sum is σ = 64510521997980. Its totient is φ = 10400187678720.

The previous prime is 26012741964793. The next prime is 26012741964809. The reversal of 26012741964800 is 846914721062.

It can be written as a sum of positive squares in 6 ways, for example, as 9743587446784 + 16269154518016 = 3121472^2 + 4033504^2 .

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26012741964809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54263762 + ... + 54741038.

Almost surely, 2^{26012741964800} is an apocalyptic number.

26012741964800 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 26012741964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32255260998990).

26012741964800 is an abundant number, since it is smaller than the sum of its proper divisors (38497780033180).

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

26012741964800 is a wasteful number, since it uses less digits than its factorization.

26012741964800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479436 (or 479413 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 50.

The spelling of 26012741964800 in words is "twenty-six trillion, twelve billion, seven hundred forty-one million, nine hundred sixty-four thousand, eight hundred".