10000077577776 has 120 divisors (see below), whose sum is σ = 32879043012816. Its totient is φ = 2797224491520.

The previous prime is 10000077577751. The next prime is 10000077577781. The reversal of 10000077577776 is 67777577000001.

It is a happy number.

It is a super-2 number, since 2×10000077577776² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 242794035 + ... + 242835218.

Almost surely, 2^{10000077577776} is an apocalyptic number.

10000077577776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10000077577776 is an abundant number, since it is smaller than the sum of its proper divisors (22878965435040).

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

10000077577776 is a wasteful number, since it uses less digits than its factorization.

10000077577776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485629291 (or 485629282 counting only the distinct ones).

The product of its (nonzero) digits is 3529470, while the sum is 54.

The spelling of 10000077577776 in words is "ten trillion, seventy-seven million, five hundred seventy-seven thousand, seven hundred seventy-six".