27871893504 has 768 divisors, whose sum is σ = 105670656000. Its totient is φ = 7060193280.

The previous prime is 27871893481. The next prime is 27871893523. The reversal of 27871893504 is 40539817872.

It is a happy number.

27871893504 is a `hidden beast` number, since 278 + 7 + 18 + 9 + 350 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a congruent number.

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, 145926049 + ... + 145926239.

It is an arithmetic number, because the mean of its divisors is an integer number (137592000).

Almost surely, 2^27871893504 is an apocalyptic number.

27871893504 is a gapful number since it is divisible by the number (24) 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 27871893504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52835328000).

27871893504 is an abundant number, since it is smaller than the sum of its proper divisors (77798762496).

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

27871893504 is a wasteful number, since it uses less digits than its factorization.

27871893504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 27871893504 in words is "twenty-seven billion, eight hundred seventy-one million, eight hundred ninety-three thousand, five hundred four".