10853687460 has 192 divisors, whose sum is σ = 38145945600. Its totient is φ = 2240033280.

The previous prime is 10853687443. The next prime is 10853687461. The reversal of 10853687460 is 6478635801.

It is a super-2 number, since 2×10853687460² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10853687461) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 680497 + ... + 696263.

It is an arithmetic number, because the mean of its divisors is an integer number (198676800).

Almost surely, 2^10853687460 is an apocalyptic number.

10853687460 is a gapful number since it is divisible by the number (10) 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 10853687460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19072972800).

10853687460 is an abundant number, since it is smaller than the sum of its proper divisors (27292258140).

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

10853687460 is a wasteful number, since it uses less digits than its factorization.

10853687460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15946 (or 15944 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 10853687460 in words is "ten billion, eight hundred fifty-three million, six hundred eighty-seven thousand, four hundred sixty".