27923659946340 has 192 divisors, whose sum is σ = 83606499067392. Its totient is φ = 6946262118400.

The previous prime is 27923659946327. The next prime is 27923659946393. The reversal of 27923659946340 is 4364995632972.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 154995754 + ... + 155175806.

It is an arithmetic number, because the mean of its divisors is an integer number (435450515976).

Almost surely, 2^{27923659946340} is an apocalyptic number.

27923659946340 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 27923659946340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41803249533696).

27923659946340 is an abundant number, since it is smaller than the sum of its proper divisors (55682839121052).

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

27923659946340 is a wasteful number, since it uses less digits than its factorization.

27923659946340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182870 (or 182868 counting only the distinct ones).

The product of its (nonzero) digits is 529079040, while the sum is 69.

The spelling of 27923659946340 in words is "twenty-seven trillion, nine hundred twenty-three billion, six hundred fifty-nine million, nine hundred forty-six thousand, three hundred forty".