10581212632032 has 144 divisors (see below), whose sum is σ = 34704436646880. Its totient is φ = 2995467734016.

The previous prime is 10581212632021. The next prime is 10581212632093. The reversal of 10581212632032 is 23023621218501.

10581212632032 is a `hidden beast` number, since 1 + 0 + 5 + 8 + 1 + 2 + 12 + 632 + 0 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×10581212632032² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23856483 + ... + 24295970.

It is an arithmetic number, because the mean of its divisors is an integer number (241003032270).

Almost surely, 2^{10581212632032} is an apocalyptic number.

10581212632032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10581212632032 is an abundant number, since it is smaller than the sum of its proper divisors (24123224014848).

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

10581212632032 is a wasteful number, since it uses less digits than its factorization.

10581212632032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48152585 (or 48152574 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 10581212632032 in words is "ten trillion, five hundred eighty-one billion, two hundred twelve million, six hundred thirty-two thousand, thirty-two".