11057060479392 has 192 divisors, whose sum is σ = 33136076413440. Its totient is φ = 3584481942528.

The previous prime is 11057060479349. The next prime is 11057060479403. The reversal of 11057060479392 is 29397406075011.

11057060479392 is a `hidden beast` number, since 1 + 1 + 0 + 570 + 60 + 4 + 7 + 9 + 3 + 9 + 2 = 666.

It is a super-3 number, since 3×11057060479392³ (a number of 40 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73035198 + ... + 73186434.

It is an arithmetic number, because the mean of its divisors is an integer number (172583731320).

Almost surely, 2^{11057060479392} is an apocalyptic number.

11057060479392 is a gapful number since it is divisible by the number (12) 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 11057060479392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16568038206720).

11057060479392 is an abundant number, since it is smaller than the sum of its proper divisors (22079015934048).

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

11057060479392 is a wasteful number, since it uses less digits than its factorization.

11057060479392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153580 (or 153566 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 11057060479392 in words is "eleven trillion, fifty-seven billion, sixty million, four hundred seventy-nine thousand, three hundred ninety-two".