27260789209440 has 96 divisors (see below), whose sum is σ = 87868497378816. Its totient is φ = 7100484625920.

The previous prime is 27260789209321. The next prime is 27260789209487. The reversal of 27260789209440 is 4490298706272.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×27260789209440² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 660366696 + ... + 660407975.

It is an arithmetic number, because the mean of its divisors is an integer number (915296847696).

Almost surely, 2^{27260789209440} is an apocalyptic number.

27260789209440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27260789209440 is an abundant number, since it is smaller than the sum of its proper divisors (60607708169376).

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

27260789209440 is a wasteful number, since it uses less digits than its factorization.

27260789209440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320774732 (or 1320774724 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 60.

The spelling of 27260789209440 in words is "twenty-seven trillion, two hundred sixty billion, seven hundred eighty-nine million, two hundred nine thousand, four hundred forty".