26454120000 has 840 divisors, whose sum is σ = 111264009120. Its totient is φ = 5483520000.

The previous prime is 26454119987. The next prime is 26454120037. The reversal of 26454120000 is 2145462.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 64679796 + ... + 64680204.

Almost surely, 2^26454120000 is an apocalyptic number.

26454120000 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 26454120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55632004560).

26454120000 is an abundant number, since it is smaller than the sum of its proper divisors (84809889120).

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

26454120000 is a wasteful number, since it uses less digits than its factorization.

26454120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 26454120000 its reverse (2145462), we get a palindrome (26456265462).

The spelling of 26454120000 in words is "twenty-six billion, four hundred fifty-four million, one hundred twenty thousand".