10574344922400 has 648 divisors, whose sum is σ = 45658539697680. Its totient is φ = 2289781509120.

The previous prime is 10574344922389. The next prime is 10574344922441. The reversal of 10574344922400 is 422944347501.

10574344922400 is a `hidden beast` number, since 1 + 0 + 574 + 34 + 4 + 9 + 2 + 2 + 40 + 0 = 666.

It is a super-2 number, since 2×10574344922400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5914447 + ... + 7491953.

It is an arithmetic number, because the mean of its divisors is an integer number (70460709410).

Almost surely, 2^{10574344922400} is an apocalyptic number.

10574344922400 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 10574344922400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22829269848840).

10574344922400 is an abundant number, since it is smaller than the sum of its proper divisors (35084194775280).

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

10574344922400 is a wasteful number, since it uses less digits than its factorization.

10574344922400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577566 (or 1577543 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 10574344922400 in words is "ten trillion, five hundred seventy-four billion, three hundred forty-four million, nine hundred twenty-two thousand, four hundred".