1064527580160 has 1056 divisors, whose sum is σ = 4268278370304. Its totient is φ = 242860032000.

The previous prime is 1064527580147. The next prime is 1064527580177. The reversal of 1064527580160 is 610857254601.

1064527580160 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 5 + 2 + 7 + 580 + 1 + 60 = 666.

1064527580160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×1064527580160² (a number of 25 digits) contains 22 as substring.

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

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, 581390445 + ... + 581392275.

Almost surely, 2^{1064527580160} is an apocalyptic number.

1064527580160 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 1064527580160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2134139185152).

1064527580160 is an abundant number, since it is smaller than the sum of its proper divisors (3203750790144).

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

1064527580160 is a wasteful number, since it uses less digits than its factorization.

1064527580160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1941 (or 1920 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 1064527580160 in words is "one trillion, sixty-four billion, five hundred twenty-seven million, five hundred eighty thousand, one hundred sixty".