10574814013800 has 96 divisors (see below), whose sum is σ = 32783411102400. Its totient is φ = 2819822433280.

The previous prime is 10574814013739. The next prime is 10574814013807. The reversal of 10574814013800 is 831041847501.

It is a super-2 number, since 2×10574814013800² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10574814013807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13218832 + ... + 13995968.

It is an arithmetic number, because the mean of its divisors is an integer number (341493865650).

Almost surely, 2^{10574814013800} is an apocalyptic number.

10574814013800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10574814013800 is an abundant number, since it is smaller than the sum of its proper divisors (22208597088600).

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

10574814013800 is a wasteful number, since it uses less digits than its factorization.

10574814013800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799835 (or 799826 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The spelling of 10574814013800 in words is "ten trillion, five hundred seventy-four billion, eight hundred fourteen million, thirteen thousand, eight hundred".