27872040504 has 384 divisors, whose sum is σ = 93361766400. Its totient is φ = 6723509760.

The previous prime is 27872040463. The next prime is 27872040509. The reversal of 27872040504 is 40504027872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27872040509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58187737 + ... + 58188215.

It is an arithmetic number, because the mean of its divisors is an integer number (243129600).

Almost surely, 2^27872040504 is an apocalyptic number.

27872040504 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 27872040504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46680883200).

27872040504 is an abundant number, since it is smaller than the sum of its proper divisors (65489725896).

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

27872040504 is a wasteful number, since it uses less digits than its factorization.

27872040504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 39.

The spelling of 27872040504 in words is "twenty-seven billion, eight hundred seventy-two million, forty thousand, five hundred four".