26932055040 has 704 divisors, whose sum is σ = 106116480000. Its totient is φ = 6423183360.

The previous prime is 26932055021. The next prime is 26932055063. The reversal of 26932055040 is 4055023962.

26932055040 is a `hidden beast` number, since 2 + 69 + 3 + 2 + 0 + 550 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-3 number, since 3×26932055040³ (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 = 26932054986 and 26932055004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 135336861 + ... + 135337059.

Almost surely, 2^26932055040 is an apocalyptic number.

26932055040 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 26932055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53058240000).

26932055040 is an abundant number, since it is smaller than the sum of its proper divisors (79184424960).

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

26932055040 is a wasteful number, since it uses less digits than its factorization.

26932055040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 26932055040 in words is "twenty-six billion, nine hundred thirty-two million, fifty-five thousand, forty".