1054461204160 has 224 divisors, whose sum is σ = 3092497873920. Its totient is φ = 333491171328.

The previous prime is 1054461204119. The next prime is 1054461204161. The reversal of 1054461204160 is 614021644501.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×1054461204160² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1054461204161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45386467 + ... + 45409693.

It is an arithmetic number, because the mean of its divisors is an integer number (13805794080).

Almost surely, 2^{1054461204160} is an apocalyptic number.

1054461204160 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 1054461204160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546248936960).

1054461204160 is an abundant number, since it is smaller than the sum of its proper divisors (2038036669760).

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

1054461204160 is a wasteful number, since it uses less digits than its factorization.

1054461204160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24823 (or 24813 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

Adding to 1054461204160 its reverse (614021644501), we get a palindrome (1668482848661).

The spelling of 1054461204160 in words is "one trillion, fifty-four billion, four hundred sixty-one million, two hundred four thousand, one hundred sixty".