10005732780570 has 48 divisors (see below), whose sum is σ = 26015062380840. Its totient is φ = 2668179290112.

The previous prime is 10005732780541. The next prime is 10005732780587. The reversal of 10005732780570 is 7508723750001.

10005732780570 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 5 + 7 + 3 + 2 + 78 + 0 + 570 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9982674054369 + 23058726201 = 3159537^2 + 151851^2 .

It is a super-2 number, since 2×10005732780570² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26453746 + ... + 26829314.

Almost surely, 2^{10005732780570} is an apocalyptic number.

10005732780570 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10005732780570 is an abundant number, since it is smaller than the sum of its proper divisors (16009329600270).

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

10005732780570 is a wasteful number, since it uses less digits than its factorization.

10005732780570 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671599 (or 671596 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 45.

The spelling of 10005732780570 in words is "ten trillion, five billion, seven hundred thirty-two million, seven hundred eighty thousand, five hundred seventy".