1005928761600 has 1215 divisors, whose sum is σ = 4348473259977. Its totient is φ = 228771164160.

The previous prime is 1005928761583. The next prime is 1005928761611. The reversal of 1005928761600 is 61678295001.

The square root of 1005928761600 is 1002960.

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

1005928761600 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 9 + 28 + 7 + 616 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 362134354176 + 643794407424 = 601776^2 + 802368^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 5054918301 + ... + 5054918499.

Almost surely, 2^{1005928761600} is an apocalyptic number.

1005928761600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1005928761600 is the 1002960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1005928761600

1005928761600 is an abundant number, since it is smaller than the sum of its proper divisors (3342544498377).

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

1005928761600 is an frugal number, since it uses more digits than its factorization.

1005928761600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 1005928761600 in words is "one trillion, five billion, nine hundred twenty-eight million, seven hundred sixty-one thousand, six hundred".