11138042954880 has 512 divisors, whose sum is σ = 41182067520000. Its totient is φ = 2841402654720.

The previous prime is 11138042954827. The next prime is 11138042954903. The reversal of 11138042954880 is 8845924083111.

11138042954880 is a `hidden beast` number, since 1 + 1 + 1 + 38 + 0 + 42 + 95 + 488 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 54520125 + ... + 54724035.

It is an arithmetic number, because the mean of its divisors is an integer number (80433725625).

Almost surely, 2^{11138042954880} is an apocalyptic number.

11138042954880 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 11138042954880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20591033760000).

11138042954880 is an abundant number, since it is smaller than the sum of its proper divisors (30044024565120).

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

11138042954880 is a wasteful number, since it uses less digits than its factorization.

11138042954880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204077 (or 204059 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 11138042954880 in words is "eleven trillion, one hundred thirty-eight billion, forty-two million, nine hundred fifty-four thousand, eight hundred eighty".