11032377068160 has 1024 divisors, whose sum is σ = 47106413568000. Its totient is φ = 2383818522624.

The previous prime is 11032377068159. The next prime is 11032377068177. The reversal of 11032377068160 is 6186077323011.

11032377068160 is a `hidden beast` number, since 110 + 3 + 2 + 377 + 0 + 6 + 8 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1119237952 + ... + 1119247808.

It is an arithmetic number, because the mean of its divisors is an integer number (46002357000).

Almost surely, 2^{11032377068160} is an apocalyptic number.

11032377068160 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 11032377068160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23553206784000).

11032377068160 is an abundant number, since it is smaller than the sum of its proper divisors (36074036499840).

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

11032377068160 is a wasteful number, since it uses less digits than its factorization.

11032377068160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10398 (or 10380 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 11032377068160 in words is "eleven trillion, thirty-two billion, three hundred seventy-seven million, sixty-eight thousand, one hundred sixty".