11533938780672 has 1440 divisors, whose sum is σ = 44361889228800. Its totient is φ = 2848927334400.

The previous prime is 11533938780659. The next prime is 11533938780733. The reversal of 11533938780672 is 27608783933511.

11533938780672 is a `hidden beast` number, since 1 + 1 + 533 + 9 + 38 + 7 + 8 + 0 + 67 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 4542707979 + ... + 4542710517.

It is an arithmetic number, because the mean of its divisors is an integer number (30806867520).

Almost surely, 2^{11533938780672} is an apocalyptic number.

11533938780672 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 11533938780672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22180944614400).

11533938780672 is an abundant number, since it is smaller than the sum of its proper divisors (32827950448128).

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

11533938780672 is a wasteful number, since it uses less digits than its factorization.

11533938780672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2678 (or 2652 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 11533938780672 in words is "eleven trillion, five hundred thirty-three billion, nine hundred thirty-eight million, seven hundred eighty thousand, six hundred seventy-two".