10578300882912 has 864 divisors, whose sum is σ = 39677293393920. Its totient is φ = 2650411653120.

The previous prime is 10578300882907. The next prime is 10578300882913. The reversal of 10578300882912 is 21928800387501.

10578300882912 is a `hidden beast` number, since 1 + 0 + 578 + 30 + 0 + 8 + 8 + 29 + 12 = 666.

It is a super-2 number, since 2×10578300882912² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10578300882913) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 191147598 + ... + 191202930.

It is an arithmetic number, because the mean of its divisors is an integer number (45922793280).

Almost surely, 2^{10578300882912} is an apocalyptic number.

10578300882912 is a gapful number since it is divisible by the number (12) 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 10578300882912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19838646696960).

10578300882912 is an abundant number, since it is smaller than the sum of its proper divisors (29098992511008).

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

10578300882912 is a wasteful number, since it uses less digits than its factorization.

10578300882912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55436 (or 55418 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 10578300882912 in words is "ten trillion, five hundred seventy-eight billion, three hundred million, eight hundred eighty-two thousand, nine hundred twelve".