10512882270000 has 600 divisors, whose sum is σ = 41592909758400. Its totient is φ = 2548571040000.

The previous prime is 10512882269969. The next prime is 10512882270049. The reversal of 10512882270000 is 7228821501.

10512882270000 is a `hidden beast` number, since 105 + 1 + 288 + 2 + 270 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×10512882270000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 26533351 + ... + 26926649.

It is an arithmetic number, because the mean of its divisors is an integer number (69321516264).

Almost surely, 2^{10512882270000} is an apocalyptic number.

10512882270000 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 10512882270000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20796454879200).

10512882270000 is an abundant number, since it is smaller than the sum of its proper divisors (31080027488400).

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

10512882270000 is an equidigital number, since it uses as much as digits as its factorization.

10512882270000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393353 (or 393320 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 10512882270000 in words is "ten trillion, five hundred twelve billion, eight hundred eighty-two million, two hundred seventy thousand".