10080142405776 has 45 divisors (see below), whose sum is σ = 28210505163321. Its totient is φ = 3360034768896.

The previous prime is 10080142405747. The next prime is 10080142405787. The reversal of 10080142405776 is 67750424108001.

The square root of 10080142405776 is 3174924.

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

10080142405776 is a `hidden beast` number, since 100 + 8 + 0 + 1 + 424 + 0 + 57 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 47567610000 + 10032574795776 = 218100^2 + 3167424^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 37966800 + ... + 38231376.

Almost surely, 2^{10080142405776} is an apocalyptic number.

10080142405776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10080142405776 is the 3174924-th square number.

It is an amenable number.

10080142405776 is an abundant number, since it is smaller than the sum of its proper divisors (18130362757545).

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

10080142405776 is an frugal number, since it uses more digits than its factorization.

10080142405776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529168 (or 264582 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 10080142405776 in words is "ten trillion, eighty billion, one hundred forty-two million, four hundred five thousand, seven hundred seventy-six".