10000077577777 has 24 divisors (see below), whose sum is σ = 11650049424000. Its totient is φ = 8558746812000.

The previous prime is 10000077577751. The next prime is 10000077577781. The reversal of 10000077577777 is 77777577000001.

It is not a de Polignac number, because 10000077577777 - 2²³ = 10000069189169 is a prime.

It is a super-2 number, since 2×10000077577777² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10000077577277) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 289848474 + ... + 289882972.

It is an arithmetic number, because the mean of its divisors is an integer number (485418726000).

Almost surely, 2^{10000077577777} is an apocalyptic number.

It is an amenable number.

10000077577777 is a deficient number, since it is larger than the sum of its proper divisors (1649971846223).

10000077577777 is an equidigital number, since it uses as much as digits as its factorization.

10000077577777 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43141 (or 43134 counting only the distinct ones).

The product of its (nonzero) digits is 4117715, while the sum is 55.

The spelling of 10000077577777 in words is "ten trillion, seventy-seven million, five hundred seventy-seven thousand, seven hundred seventy-seven".