10116529188480 has 896 divisors, whose sum is σ = 42600209783040. Its totient is φ = 2263823769600.

The previous prime is 10116529188449. The next prime is 10116529188487. The reversal of 10116529188480 is 8488192561101.

10116529188480 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 65 + 29 + 1 + 88 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (10116529188487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 66642265 + ... + 66793895.

It is an arithmetic number, because the mean of its divisors is an integer number (47544876990).

Almost surely, 2^{10116529188480} is an apocalyptic number.

10116529188480 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 10116529188480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21300104891520).

10116529188480 is an abundant number, since it is smaller than the sum of its proper divisors (32483680594560).

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

10116529188480 is a wasteful number, since it uses less digits than its factorization.

10116529188480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151692 (or 151665 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 54.

The spelling of 10116529188480 in words is "ten trillion, one hundred sixteen billion, five hundred twenty-nine million, one hundred eighty-eight thousand, four hundred eighty".