1001055005600 has 108 divisors (see below), whose sum is σ = 2646272975346. Its totient is φ = 369620259840.

The previous prime is 1001055005497. The next prime is 1001055005651. The reversal of 1001055005600 is 65005501001.

It can be written as a sum of positive squares in 9 ways, for example, as 206453914384 + 794601091216 = 454372^2 + 891404^2 .

It is a super-2 number, since 2×1001055005600² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3566927 + ... + 3837326.

Almost surely, 2^{1001055005600} is an apocalyptic number.

1001055005600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001055005600 is an abundant number, since it is smaller than the sum of its proper divisors (1645217969746).

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

1001055005600 is a wasteful number, since it uses less digits than its factorization.

1001055005600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7404299 (or 7404273 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 23.

The spelling of 1001055005600 in words is "one trillion, one billion, fifty-five million, five thousand, six hundred".