26933946440960 has 144 divisors (see below), whose sum is σ = 69491975314944. Its totient is φ = 9942831046656.

The previous prime is 26933946440927. The next prime is 26933946440969. The reversal of 26933946440960 is 6904464933962.

It is a Harshad number since it is a multiple of its sum of digits (65).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26933946440969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83421599 + ... + 83743841.

Almost surely, 2^{26933946440960} is an apocalyptic number.

26933946440960 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 26933946440960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34745987657472).

26933946440960 is an abundant number, since it is smaller than the sum of its proper divisors (42558028873984).

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

26933946440960 is a wasteful number, since it uses less digits than its factorization.

26933946440960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327300 (or 327286 counting only the distinct ones).

The product of its (nonzero) digits is 181398528, while the sum is 65.

The spelling of 26933946440960 in words is "twenty-six trillion, nine hundred thirty-three billion, nine hundred forty-six million, four hundred forty thousand, nine hundred sixty".