11133119652480 has 1152 divisors, whose sum is σ = 48170101636800. Its totient is φ = 2354667356160.

The previous prime is 11133119652463. The next prime is 11133119652503. The reversal of 11133119652480 is 8425691133111.

11133119652480 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 3 + 119 + 6 + 52 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 143 ways as a sum of consecutive naturals, for example, 230565940 + ... + 230614220.

Almost surely, 2^{11133119652480} is an apocalyptic number.

11133119652480 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 11133119652480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24085050818400).

11133119652480 is an abundant number, since it is smaller than the sum of its proper divisors (37036981984320).

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

11133119652480 is a wasteful number, since it uses less digits than its factorization.

11133119652480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48382 (or 48360 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 11133119652480 in words is "eleven trillion, one hundred thirty-three billion, one hundred nineteen million, six hundred fifty-two thousand, four hundred eighty".