10727458560 has 864 divisors, whose sum is σ = 47497981440. Its totient is φ = 2257403904.

The previous prime is 10727458537. The next prime is 10727458601. The reversal of 10727458560 is 6585472701.

10727458560 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 7 + 4 + 585 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28304451 + ... + 28304829.

Almost surely, 2^10727458560 is an apocalyptic number.

10727458560 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 10727458560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23748990720).

10727458560 is an abundant number, since it is smaller than the sum of its proper divisors (36770522880).

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

10727458560 is an equidigital number, since it uses as much as digits as its factorization.

10727458560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 10727458560 in words is "ten billion, seven hundred twenty-seven million, four hundred fifty-eight thousand, five hundred sixty".