1054005153120 has 288 divisors, whose sum is σ = 3821388217920. Its totient is φ = 264041164800.

The previous prime is 1054005153109. The next prime is 1054005153167. The reversal of 1054005153120 is 213515004501.

1054005153120 is a `hidden beast` number, since 1 + 0 + 540 + 0 + 51 + 53 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1054005153120² (a number of 25 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 47 ways as a sum of consecutive naturals, for example, 1204045 + ... + 1886195.

It is an arithmetic number, because the mean of its divisors is an integer number (13268709090).

Almost surely, 2^{1054005153120} is an apocalyptic number.

1054005153120 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 1054005153120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1910694108960).

1054005153120 is an abundant number, since it is smaller than the sum of its proper divisors (2767383064800).

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

1054005153120 is a wasteful number, since it uses less digits than its factorization.

1054005153120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682238 (or 682227 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 1054005153120 in words is "one trillion, fifty-four billion, five million, one hundred fifty-three thousand, one hundred twenty".