10652137963192 has 256 divisors, whose sum is σ = 24433311744000. Its totient is φ = 4290821683200.

The previous prime is 10652137963183. The next prime is 10652137963241. The reversal of 10652137963192 is 29136973125601.

It is a super-2 number, since 2×10652137963192² (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 63 ways as a sum of consecutive naturals, for example, 3689689573 + ... + 3689692459.

It is an arithmetic number, because the mean of its divisors is an integer number (95442624000).

Almost surely, 2^{10652137963192} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10652137963192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12216655872000).

10652137963192 is an abundant number, since it is smaller than the sum of its proper divisors (13781173780808).

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

10652137963192 is a wasteful number, since it uses less digits than its factorization.

10652137963192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3690 (or 3686 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 55.

The spelling of 10652137963192 in words is "ten trillion, six hundred fifty-two billion, one hundred thirty-seven million, nine hundred sixty-three thousand, one hundred ninety-two".