10574786984400 has 960 divisors, whose sum is σ = 40359881802240. Its totient is φ = 2620433203200.

The previous prime is 10574786984357. The next prime is 10574786984441. The reversal of 10574786984400 is 448968747501.

10574786984400 is a `hidden beast` number, since 1 + 0 + 5 + 74 + 7 + 86 + 9 + 84 + 400 = 666.

It is a super-2 number, since 2×10574786984400² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8717878194 + ... + 8717879406.

It is an arithmetic number, because the mean of its divisors is an integer number (42041543544).

Almost surely, 2^{10574786984400} is an apocalyptic number.

10574786984400 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 10574786984400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20179940901120).

10574786984400 is an abundant number, since it is smaller than the sum of its proper divisors (29785094817840).

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

10574786984400 is a wasteful number, since it uses less digits than its factorization.

10574786984400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1821 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 10574786984400 in words is "ten trillion, five hundred seventy-four billion, seven hundred eighty-six million, nine hundred eighty-four thousand, four hundred".