27869941693440 has 3168 divisors, whose sum is σ = 128432775744000. Its totient is φ = 5670503055360.

The previous prime is 27869941693439. The next prime is 27869941693463. The reversal of 27869941693440 is 4439614996872.

It is a happy number.

27869941693440 is a `hidden beast` number, since 2 + 7 + 8 + 6 + 9 + 94 + 1 + 6 + 93 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 55851586311 + ... + 55851586809.

Almost surely, 2^{27869941693440} is an apocalyptic number.

27869941693440 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 27869941693440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64216387872000).

27869941693440 is an abundant number, since it is smaller than the sum of its proper divisors (100562834050560).

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

27869941693440 is a wasteful number, since it uses less digits than its factorization.

27869941693440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 564350976, while the sum is 72.

The spelling of 27869941693440 in words is "twenty-seven trillion, eight hundred sixty-nine billion, nine hundred forty-one million, six hundred ninety-three thousand, four hundred forty".