26932990561920 has 640 divisors, whose sum is σ = 100984653158400. Its totient is φ = 6830946017280.

The previous prime is 26932990561847. The next prime is 26932990561921. The reversal of 26932990561920 is 2916509923962.

26932990561920 is a `hidden beast` number, since 2 + 6 + 9 + 3 + 2 + 9 + 9 + 0 + 5 + 619 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is not an unprimeable number, because it can be changed into a prime (26932990561921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 100591425 + ... + 100858815.

It is an arithmetic number, because the mean of its divisors is an integer number (157788520560).

Almost surely, 2^{26932990561920} is an apocalyptic number.

26932990561920 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 26932990561920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50492326579200).

26932990561920 is an abundant number, since it is smaller than the sum of its proper divisors (74051662596480).

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

26932990561920 is a wasteful number, since it uses less digits than its factorization.

26932990561920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267518 (or 267497 counting only the distinct ones).

The product of its (nonzero) digits is 28343520, while the sum is 63.

The spelling of 26932990561920 in words is "twenty-six trillion, nine hundred thirty-two billion, nine hundred ninety million, five hundred sixty-one thousand, nine hundred twenty".