11077506048 has 176 divisors, whose sum is σ = 34435452800. Its totient is φ = 3164700672.

The previous prime is 11077506029. The next prime is 11077506049. The reversal of 11077506048 is 84060577011.

It is a super-2 number, since 2×11077506048² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11077505997 and 11077506015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11077506049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1048440 + ... + 1058952.

Almost surely, 2^11077506048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11077506048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17217726400).

11077506048 is an abundant number, since it is smaller than the sum of its proper divisors (23357946752).

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

11077506048 is an equidigital number, since it uses as much as digits as its factorization.

11077506048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10557 (or 10525 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 39.

The spelling of 11077506048 in words is "eleven billion, seventy-seven million, five hundred six thousand, forty-eight".