10527581161200 has 60 divisors (see below), whose sum is σ = 33723351656888. Its totient is φ = 2807354976000.

The previous prime is 10527581161199. The next prime is 10527581161261. The reversal of 10527581161200 is 216118572501.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×10527581161200² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4386490951 + ... + 4386493350.

Almost surely, 2^{10527581161200} is an apocalyptic number.

10527581161200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10527581161200 is an abundant number, since it is smaller than the sum of its proper divisors (23195770495688).

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

10527581161200 is a wasteful number, since it uses less digits than its factorization.

10527581161200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8772984322 (or 8772984311 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 39.

The spelling of 10527581161200 in words is "ten trillion, five hundred twenty-seven billion, five hundred eighty-one million, one hundred sixty-one thousand, two hundred".