27146091908340 has 336 divisors, whose sum is σ = 92064267058176. Its totient is φ = 6700856025600.

The previous prime is 27146091908339. The next prime is 27146091908347. The reversal of 27146091908340 is 4380919064172.

27146091908340 is a `hidden beast` number, since 2 + 7 + 1 + 460 + 91 + 90 + 8 + 3 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27146091908347) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 9089880 + ... + 11701200.

It is an arithmetic number, because the mean of its divisors is an integer number (274000794816).

Almost surely, 2^{27146091908340} is an apocalyptic number.

27146091908340 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 27146091908340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46032133529088).

27146091908340 is an abundant number, since it is smaller than the sum of its proper divisors (64918175149836).

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

27146091908340 is a wasteful number, since it uses less digits than its factorization.

27146091908340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2611402 (or 2611385 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 27146091908340 in words is "twenty-seven trillion, one hundred forty-six billion, ninety-one million, nine hundred eight thousand, three hundred forty".