11357079552 has 768 divisors, whose sum is σ = 43222233600. Its totient is φ = 2866544640.

The previous prime is 11357079523. The next prime is 11357079563. The reversal of 11357079552 is 25597075311.

11357079552 is a `hidden beast` number, since 1 + 1 + 3 + 570 + 79 + 5 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a junction number, because it is equal to n+sod(n) for n = 11357079498 and 11357079507.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 186181602 + ... + 186181662.

It is an arithmetic number, because the mean of its divisors is an integer number (56278950).

Almost surely, 2^11357079552 is an apocalyptic number.

11357079552 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 11357079552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21611116800).

11357079552 is an abundant number, since it is smaller than the sum of its proper divisors (31865154048).

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

11357079552 is a wasteful number, since it uses less digits than its factorization.

11357079552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 330750, while the sum is 45.

The spelling of 11357079552 in words is "eleven billion, three hundred fifty-seven million, seventy-nine thousand, five hundred fifty-two".