10827207360 has 448 divisors, whose sum is σ = 39546946560. Its totient is φ = 2786918400.

The previous prime is 10827207341. The next prime is 10827207371. The reversal of 10827207360 is 6370272801.

10827207360 is a `hidden beast` number, since 10 + 82 + 7 + 207 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 56099424 + ... + 56099616.

Almost surely, 2^10827207360 is an apocalyptic number.

10827207360 is a gapful number since it is divisible by the number (10) 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 10827207360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19773473280).

10827207360 is an abundant number, since it is smaller than the sum of its proper divisors (28719739200).

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

10827207360 is a wasteful number, since it uses less digits than its factorization.

10827207360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 10827207360 in words is "ten billion, eight hundred twenty-seven million, two hundred seven thousand, three hundred sixty".