11554536517536 has 96 divisors (see below), whose sum is σ = 30477113243136. Its totient is φ = 3832917984000.

The previous prime is 11554536517493. The next prime is 11554536517541. The reversal of 11554536517536 is 63571563545511.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×11554536517536² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 341722071 + ... + 341755881.

It is an arithmetic number, because the mean of its divisors is an integer number (317469929616).

Almost surely, 2^{11554536517536} is an apocalyptic number.

11554536517536 is a gapful number since it is divisible by the number (16) 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 11554536517536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15238556621568).

11554536517536 is an abundant number, since it is smaller than the sum of its proper divisors (18922576725600).

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

11554536517536 is a wasteful number, since it uses less digits than its factorization.

11554536517536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50906 (or 50898 counting only the distinct ones).

The product of its digits is 28350000, while the sum is 57.

The spelling of 11554536517536 in words is "eleven trillion, five hundred fifty-four billion, five hundred thirty-six million, five hundred seventeen thousand, five hundred thirty-six".