27431278693840 has 120 divisors (see below), whose sum is σ = 74220390419112. Its totient is φ = 9401209574400.

The previous prime is 27431278693831. The next prime is 27431278693843. The reversal of 27431278693840 is 4839687213472.

It can be written as a sum of positive squares in 4 ways, for example, as 40043584 + 27431238650256 = 6328^2 + 5237484^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27431278693843) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8297290 + ... + 11122390.

Almost surely, 2^{27431278693840} is an apocalyptic number.

27431278693840 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 27431278693840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37110195209556).

27431278693840 is an abundant number, since it is smaller than the sum of its proper divisors (46789111725272).

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

27431278693840 is a wasteful number, since it uses less digits than its factorization.

27431278693840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2827605 (or 2827592 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 64.

The spelling of 27431278693840 in words is "twenty-seven trillion, four hundred thirty-one billion, two hundred seventy-eight million, six hundred ninety-three thousand, eight hundred forty".