10827378432 has 576 divisors, whose sum is σ = 37361049600. Its totient is φ = 3083857920.

The previous prime is 10827378407. The next prime is 10827378461. The reversal of 10827378432 is 23487372801.

10827378432 is a `hidden beast` number, since 1 + 0 + 82 + 73 + 78 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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, 349270257 + ... + 349270287.

Almost surely, 2^10827378432 is an apocalyptic number.

10827378432 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 10827378432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18680524800).

10827378432 is an abundant number, since it is smaller than the sum of its proper divisors (26533671168).

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

10827378432 is an equidigital number, since it uses as much as digits as its factorization.

10827378432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 10827378432 in words is "ten billion, eight hundred twenty-seven million, three hundred seventy-eight thousand, four hundred thirty-two".