10547945017600 has 81 divisors (see below), whose sum is σ = 26108455147887. Its totient is φ = 4219074078720.

The previous prime is 10547945017583. The next prime is 10547945017601. The reversal of 10547945017600 is 671054974501.

The square root of 10547945017600 is 3247760.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2463794843904 + 8084150173696 = 1569648^2 + 2843264^2 .

It is a super-2 number, since 2×10547945017600² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10547945017601) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 259800502 + ... + 259841098.

Almost surely, 2^{10547945017600} is an apocalyptic number.

10547945017600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10547945017600 is the 3247760-th square number.

It is an amenable number.

10547945017600 is an abundant number, since it is smaller than the sum of its proper divisors (15560510130287).

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

10547945017600 is an frugal number, since it uses more digits than its factorization.

10547945017600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81220 (or 40604 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 49.

Multiplying 10547945017600 by its sum of digits (49), we get a square (516849305862400 = 22734320²).

The spelling of 10547945017600 in words is "ten trillion, five hundred forty-seven billion, nine hundred forty-five million, seventeen thousand, six hundred".