11358506880 has 640 divisors, whose sum is σ = 46937119680. Its totient is φ = 2563964928.

The previous prime is 11358506867. The next prime is 11358506881. The reversal of 11358506880 is 8860585311.

11358506880 is a `hidden beast` number, since 1 + 1 + 3 + 585 + 0 + 68 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11358506881) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 41005302 + ... + 41005578.

Almost surely, 2^11358506880 is an apocalyptic number.

11358506880 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 11358506880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23468559840).

11358506880 is an abundant number, since it is smaller than the sum of its proper divisors (35578612800).

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

11358506880 is a wasteful number, since it uses less digits than its factorization.

11358506880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 11358506880 in words is "eleven billion, three hundred fifty-eight million, five hundred six thousand, eight hundred eighty".