10054338840000 has 2520 divisors, whose sum is σ = 46134355755488. Its totient is φ = 2116316160000.

The previous prime is 10054338839981. The next prime is 10054338840043. The reversal of 10054338840000 is 4883345001.

10054338840000 is a `hidden beast` number, since 1 + 0 + 0 + 543 + 38 + 84 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

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

It is a congruent number.

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 359 ways as a sum of consecutive naturals, for example, 23882039790 + ... + 23882040210.

Almost surely, 2^{10054338840000} is an apocalyptic number.

10054338840000 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 10054338840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23067177877744).

10054338840000 is an abundant number, since it is smaller than the sum of its proper divisors (36080016915488).

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

10054338840000 is an frugal number, since it uses more digits than its factorization.

10054338840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 10054338840000 in words is "ten trillion, fifty-four billion, three hundred thirty-eight million, eight hundred forty thousand".