11077781914080 has 2880 divisors, whose sum is σ = 50456112537600. Its totient is φ = 2271617187840.

The previous prime is 11077781914061. The next prime is 11077781914127. The reversal of 11077781914080 is 8041918777011.

It is a happy number.

11077781914080 is a `hidden beast` number, since 1 + 1 + 0 + 7 + 77 + 81 + 91 + 408 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 26438620111 + ... + 26438620529.

It is an arithmetic number, because the mean of its divisors is an integer number (17519483520).

Almost surely, 2^{11077781914080} is an apocalyptic number.

11077781914080 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 11077781914080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25228056268800).

11077781914080 is an abundant number, since it is smaller than the sum of its proper divisors (39378330623520).

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

11077781914080 is a wasteful number, since it uses less digits than its factorization.

11077781914080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 54.

The spelling of 11077781914080 in words is "eleven trillion, seventy-seven billion, seven hundred eighty-one million, nine hundred fourteen thousand, eighty".