10777977288 has 192 divisors, whose sum is σ = 34519080960. Its totient is φ = 3121099776.

The previous prime is 10777977247. The next prime is 10777977299. The reversal of 10777977288 is 88277977701.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 417081 + ... + 442167.

It is an arithmetic number, because the mean of its divisors is an integer number (179786880).

Almost surely, 2^10777977288 is an apocalyptic number.

10777977288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10777977288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17259540480).

10777977288 is an abundant number, since it is smaller than the sum of its proper divisors (23741103672).

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

10777977288 is a wasteful number, since it uses less digits than its factorization.

10777977288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25138 (or 25122 counting only the distinct ones).

The product of its (nonzero) digits is 19361664, while the sum is 63.

The spelling of 10777977288 in words is "ten billion, seven hundred seventy-seven million, nine hundred seventy-seven thousand, two hundred eighty-eight".