1054049491872 has 576 divisors, whose sum is σ = 3428484433920. Its totient is φ = 304857907200.

The previous prime is 1054049491853. The next prime is 1054049491897. The reversal of 1054049491872 is 2781949404501.

1054049491872 is a `hidden beast` number, since 1 + 0 + 5 + 40 + 49 + 491 + 8 + 72 = 666.

It is a super-2 number, since 2×1054049491872² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1708345708 + ... + 1708346324.

It is an arithmetic number, because the mean of its divisors is an integer number (5952229920).

Almost surely, 2^{1054049491872} is an apocalyptic number.

1054049491872 is a gapful number since it is divisible by the number (12) 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 1054049491872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714242216960).

1054049491872 is an abundant number, since it is smaller than the sum of its proper divisors (2374434942048).

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

1054049491872 is a wasteful number, since it uses less digits than its factorization.

1054049491872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 1054049491872 in words is "one trillion, fifty-four billion, forty-nine million, four hundred ninety-one thousand, eight hundred seventy-two".