10027855872 has 312 divisors, whose sum is σ = 31007849600. Its totient is φ = 3113385984.

The previous prime is 10027855861. The next prime is 10027855889. The reversal of 10027855872 is 27855872001.

10027855872 is a `hidden beast` number, since 1 + 0 + 0 + 27 + 8 + 558 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72142779 + ... + 72142917.

Almost surely, 2^10027855872 is an apocalyptic number.

10027855872 is a gapful number since it is divisible by the number (12) 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 10027855872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15503924800).

10027855872 is an abundant number, since it is smaller than the sum of its proper divisors (20979993728).

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

10027855872 is a wasteful number, since it uses less digits than its factorization.

10027855872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 45.

The spelling of 10027855872 in words is "ten billion, twenty-seven million, eight hundred fifty-five thousand, eight hundred seventy-two".