1010132527872 has 288 divisors, whose sum is σ = 3062172977920. Its totient is φ = 293044469760.

The previous prime is 1010132527841. The next prime is 1010132527907. The reversal of 1010132527872 is 2787252310101.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 1010132527872.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 40013238 + ... + 40038474.

Almost surely, 2^{1010132527872} is an apocalyptic number.

1010132527872 is a gapful number since it is divisible by the number (12) 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 1010132527872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1531086488960).

1010132527872 is an abundant number, since it is smaller than the sum of its proper divisors (2052040450048).

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

1010132527872 is a wasteful number, since it uses less digits than its factorization.

1010132527872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25499 (or 25485 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 39.

Adding to 1010132527872 its reverse (2787252310101), we get a palindrome (3797384837973).

The spelling of 1010132527872 in words is "one trillion, ten billion, one hundred thirty-two million, five hundred twenty-seven thousand, eight hundred seventy-two".