11077795680 has 192 divisors, whose sum is σ = 42226168320. Its totient is φ = 2383110144.

The previous prime is 11077795679. The next prime is 11077795681. The reversal of 11077795680 is 8659777011.

It is an interprime number because it is at equal distance from previous prime (11077795679) and next prime (11077795681).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11077795681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39850 + ... + 154089.

It is an arithmetic number, because the mean of its divisors is an integer number (219927960).

Almost surely, 2^11077795680 is an apocalyptic number.

11077795680 is a gapful number since it is divisible by the number (10) 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 11077795680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21113084160).

11077795680 is an abundant number, since it is smaller than the sum of its proper divisors (31148372640).

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

11077795680 is a wasteful number, since it uses less digits than its factorization.

11077795680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193981 (or 193973 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 51.

The spelling of 11077795680 in words is "eleven billion, seventy-seven million, seven hundred ninety-five thousand, six hundred eighty".