10574059974000 has 480 divisors, whose sum is σ = 35754404714496. Its totient is φ = 2683463974400.

The previous prime is 10574059973993. The next prime is 10574059974013. The reversal of 10574059974000 is 47995047501.

It is a super-2 number, since 2×10574059974000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7111001257 + ... + 7111002743.

Almost surely, 2^{10574059974000} is an apocalyptic number.

10574059974000 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 10574059974000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17877202357248).

10574059974000 is an abundant number, since it is smaller than the sum of its proper divisors (25180344740496).

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

10574059974000 is a wasteful number, since it uses less digits than its factorization.

10574059974000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1990 (or 1747 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 51.

The spelling of 10574059974000 in words is "ten trillion, five hundred seventy-four billion, fifty-nine million, nine hundred seventy-four thousand".