10541644369360 has 80 divisors (see below), whose sum is σ = 27108024881616. Its totient is φ = 3787102162944.

The previous prime is 10541644369313. The next prime is 10541644369393. The reversal of 10541644369360 is 6396344614501.

It can be written as a sum of positive squares in 8 ways, for example, as 14838163344 + 10526806206016 = 121812^2 + 3244504^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10541644369360² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 10541644369298 and 10541644369307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136937149 + ... + 137014108.

Almost surely, 2^{10541644369360} is an apocalyptic number.

10541644369360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10541644369360 is an abundant number, since it is smaller than the sum of its proper divisors (16566380512256).

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

10541644369360 is a wasteful number, since it uses less digits than its factorization.

10541644369360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273951320 (or 273951314 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 52.

The spelling of 10541644369360 in words is "ten trillion, five hundred forty-one billion, six hundred forty-four million, three hundred sixty-nine thousand, three hundred sixty".