1054726620800 has 96 divisors (see below), whose sum is σ = 2758769459820. Its totient is φ = 397073530880.

The previous prime is 1054726620763. The next prime is 1054726620823. The reversal of 1054726620800 is 80266274501.

It can be written as a sum of positive squares in 6 ways, for example, as 307829670976 + 746896949824 = 554824^2 + 864232^2 .

It is a super-3 number, since 3×1054726620800³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 9639779 + ... + 9748578.

Almost surely, 2^{1054726620800} is an apocalyptic number.

1054726620800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1054726620800 is an abundant number, since it is smaller than the sum of its proper divisors (1704042839020).

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

1054726620800 is a wasteful number, since it uses less digits than its factorization.

1054726620800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19388398 (or 19388381 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The spelling of 1054726620800 in words is "one trillion, fifty-four billion, seven hundred twenty-six million, six hundred twenty thousand, eight hundred".