10027853472 has 192 divisors, whose sum is σ = 33189053184. Its totient is φ = 2580111360.

The previous prime is 10027853443. The next prime is 10027853477. The reversal of 10027853472 is 27435872001.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 10027853472.

It is not an unprimeable number, because it can be changed into a prime (10027853477) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 344178 + ... + 372174.

It is an arithmetic number, because the mean of its divisors is an integer number (172859652).

Almost surely, 2^10027853472 is an apocalyptic number.

10027853472 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 10027853472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16594526592).

10027853472 is an abundant number, since it is smaller than the sum of its proper divisors (23161199712).

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

10027853472 is a wasteful number, since it uses less digits than its factorization.

10027853472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28071 (or 28063 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The spelling of 10027853472 in words is "ten billion, twenty-seven million, eight hundred fifty-three thousand, four hundred seventy-two".