10501409895132 has 96 divisors (see below), whose sum is σ = 26469821952000. Its totient is φ = 3221208986112.

The previous prime is 10501409895083. The next prime is 10501409895143. The reversal of 10501409895132 is 23159890410501.

10501409895132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10501409895132² (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 31 ways as a sum of consecutive naturals, for example, 193130613 + ... + 193184979.

It is an arithmetic number, because the mean of its divisors is an integer number (275727312000).

Almost surely, 2^{10501409895132} is an apocalyptic number.

10501409895132 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 10501409895132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13234910976000).

10501409895132 is an abundant number, since it is smaller than the sum of its proper divisors (15968412056868).

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

10501409895132 is a wasteful number, since it uses less digits than its factorization.

10501409895132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58195 (or 58193 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 48.

The spelling of 10501409895132 in words is "ten trillion, five hundred one billion, four hundred nine million, eight hundred ninety-five thousand, one hundred thirty-two".