10852265741952 has 128 divisors (see below), whose sum is σ = 30523836355200. Its totient is φ = 3404427264000.

The previous prime is 10852265741939. The next prime is 10852265741959. The reversal of 10852265741952 is 25914756225801.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×10852265741952³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10852265741892 and 10852265741901.

It is not an unprimeable number, because it can be changed into a prime (10852265741959) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137054949 + ... + 137134107.

It is an arithmetic number, because the mean of its divisors is an integer number (238467471525).

Almost surely, 2^{10852265741952} is an apocalyptic number.

10852265741952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10852265741952 is an abundant number, since it is smaller than the sum of its proper divisors (19671570613248).

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

10852265741952 is a wasteful number, since it uses less digits than its factorization.

10852265741952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100194 (or 100182 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 57.

The spelling of 10852265741952 in words is "ten trillion, eight hundred fifty-two billion, two hundred sixty-five million, seven hundred forty-one thousand, nine hundred fifty-two".