27386194983840 has 4032 divisors, whose sum is σ = 132334085560320. Its totient is φ = 5185982361600.

The previous prime is 27386194983811. The next prime is 27386194983907. The reversal of 27386194983840 is 4838949168372.

27386194983840 is a `hidden beast` number, since 2 + 7 + 3 + 8 + 61 + 9 + 498 + 38 + 40 = 666.

It is a super-2 number, since 2×27386194983840² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 163989191437 + ... + 163989191603.

It is an arithmetic number, because the mean of its divisors is an integer number (32820953760).

Almost surely, 2^{27386194983840} is an apocalyptic number.

27386194983840 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 27386194983840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66167042780160).

27386194983840 is an abundant number, since it is smaller than the sum of its proper divisors (104947890576480).

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

27386194983840 is a wasteful number, since it uses less digits than its factorization.

27386194983840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 72.

The spelling of 27386194983840 in words is "twenty-seven trillion, three hundred eighty-six billion, one hundred ninety-four million, nine hundred eighty-three thousand, eight hundred forty".