11752777436512 has 96 divisors (see below), whose sum is σ = 26983738656000. Its totient is φ = 4934632293888.

The previous prime is 11752777436507. The next prime is 11752777436513. The reversal of 11752777436512 is 21563477725711.

It is a super-2 number, since 2×11752777436512² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11752777436513) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2354739 + ... + 5389837.

It is an arithmetic number, because the mean of its divisors is an integer number (281080611000).

Almost surely, 2^{11752777436512} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11752777436512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13491869328000).

11752777436512 is an abundant number, since it is smaller than the sum of its proper divisors (15230961219488).

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

11752777436512 is a wasteful number, since it uses less digits than its factorization.

11752777436512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3035468 (or 3035460 counting only the distinct ones).

The product of its digits is 17287200, while the sum is 58.

The spelling of 11752777436512 in words is "eleven trillion, seven hundred fifty-two billion, seven hundred seventy-seven million, four hundred thirty-six thousand, five hundred twelve".