10055813418000 has 1920 divisors, whose sum is σ = 44276503265280. Its totient is φ = 2171836800000.

The previous prime is 10055813417977. The next prime is 10055813418037. The reversal of 10055813418000 is 81431855001.

10055813418000 is a `hidden beast` number, since 10 + 0 + 558 + 13 + 4 + 1 + 80 + 0 + 0 = 666.

It is a super-2 number, since 2×10055813418000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3527116575 + ... + 3527119425.

It is an arithmetic number, because the mean of its divisors is an integer number (23060678784).

Almost surely, 2^{10055813418000} is an apocalyptic number.

10055813418000 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 10055813418000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22138251632640).

10055813418000 is an abundant number, since it is smaller than the sum of its proper divisors (34220689847280).

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

10055813418000 is a wasteful number, since it uses less digits than its factorization.

10055813418000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2971 (or 2942 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The spelling of 10055813418000 in words is "ten trillion, fifty-five billion, eight hundred thirteen million, four hundred eighteen thousand".