26421314544 has 120 divisors (see below), whose sum is σ = 75732166224. Its totient is φ = 8596224000.

The previous prime is 26421314533. The next prime is 26421314627. The reversal of 26421314544 is 44541312462.

26421314544 is a `hidden beast` number, since 2 + 64 + 21 + 31 + 4 + 544 = 666.

It is a super-3 number, since 3×26421314544³ (a number of 32 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 26421314499 and 26421314508.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1139224 + ... + 1162184.

Almost surely, 2^26421314544 is an apocalyptic number.

26421314544 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 26421314544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37866083112).

26421314544 is an abundant number, since it is smaller than the sum of its proper divisors (49310851680).

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

26421314544 is a wasteful number, since it uses less digits than its factorization.

26421314544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23167 (or 23158 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The spelling of 26421314544 in words is "twenty-six billion, four hundred twenty-one million, three hundred fourteen thousand, five hundred forty-four".