10727360280 has 768 divisors, whose sum is σ = 46332518400. Its totient is φ = 2185989120.

The previous prime is 10727360269. The next prime is 10727360291. The reversal of 10727360280 is 8206372701.

10727360280 is a `hidden beast` number, since 10 + 7 + 2 + 7 + 360 + 280 = 666.

It is an interprime number because it is at equal distance from previous prime (10727360269) and next prime (10727360291).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21326509 + ... + 21327011.

It is an arithmetic number, because the mean of its divisors is an integer number (60328800).

Almost surely, 2^10727360280 is an apocalyptic number.

10727360280 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 10727360280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23166259200).

10727360280 is an abundant number, since it is smaller than the sum of its proper divisors (35605158120).

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

10727360280 is a wasteful number, since it uses less digits than its factorization.

10727360280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 564 counting only the distinct ones).

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

The spelling of 10727360280 in words is "ten billion, seven hundred twenty-seven million, three hundred sixty thousand, two hundred eighty".