10151080277776 has 45 divisors (see below), whose sum is σ = 19725145918933. Its totient is φ = 5060763118400.

The previous prime is 10151080277761. The next prime is 10151080277783. The reversal of 10151080277776 is 67777208015101.

The square root of 10151080277776 is 3186076.

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

10151080277776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 846628175376 + 9304452102400 = 920124^2 + 3050320^2 .

It is a Duffinian number.

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, 5339862426 + ... + 5339864326.

Almost surely, 2^{10151080277776} is an apocalyptic number.

10151080277776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10151080277776 is the 3186076-th square number.

It is an amenable number.

10151080277776 is a deficient number, since it is larger than the sum of its proper divisors (9574065641157).

10151080277776 is an frugal number, since it uses more digits than its factorization.

10151080277776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4648 (or 2322 counting only the distinct ones).

The product of its (nonzero) digits is 1152480, while the sum is 52.

The spelling of 10151080277776 in words is "ten trillion, one hundred fifty-one billion, eighty million, two hundred seventy-seven thousand, seven hundred seventy-six".