11277674160480 has 1728 divisors, whose sum is σ = 51398207078400. Its totient is φ = 2225424015360.

The previous prime is 11277674160457. The next prime is 11277674160521. The reversal of 11277674160480 is 8406147677211.

11277674160480 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 7 + 67 + 41 + 60 + 480 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1376833185 + ... + 1376841375.

It is an arithmetic number, because the mean of its divisors is an integer number (29744332800).

Almost surely, 2^{11277674160480} is an apocalyptic number.

11277674160480 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 11277674160480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25699103539200).

11277674160480 is an abundant number, since it is smaller than the sum of its proper divisors (40120532917920).

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

11277674160480 is a wasteful number, since it uses less digits than its factorization.

11277674160480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8337 (or 8319 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 11277674160480 in words is "eleven trillion, two hundred seventy-seven billion, six hundred seventy-four million, one hundred sixty thousand, four hundred eighty".