10852730196480 has 640 divisors, whose sum is σ = 39242856153600. Its totient is φ = 2842347110400.

The previous prime is 10852730196463. The next prime is 10852730196569. The reversal of 10852730196480 is 8469103725801.

10852730196480 is a `hidden beast` number, since 1 + 0 + 8 + 5 + 2 + 73 + 0 + 1 + 96 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1320118770 + ... + 1320126990.

It is an arithmetic number, because the mean of its divisors is an integer number (61316962740).

It is a 1-persistent number, because it is pandigital, but 2⋅10852730196480 = 21705460392960 is not.

Almost surely, 2^{10852730196480} is an apocalyptic number.

10852730196480 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 10852730196480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19621428076800).

10852730196480 is an abundant number, since it is smaller than the sum of its proper divisors (28390125957120).

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

10852730196480 is an equidigital number, since it uses as much as digits as its factorization.

10852730196480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8593 (or 8571 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 10852730196480 in words is "ten trillion, eight hundred fifty-two billion, seven hundred thirty million, one hundred ninety-six thousand, four hundred eighty".