11352804480 has 256 divisors, whose sum is σ = 40709260800. Its totient is φ = 3027041280.

The previous prime is 11352804479. The next prime is 11352804503. The reversal of 11352804480 is 8440825311.

11352804480 is a `hidden beast` number, since 1 + 13 + 528 + 0 + 44 + 80 = 666.

It is a super-2 number, since 2×11352804480² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1395625 + ... + 1403735.

It is an arithmetic number, because the mean of its divisors is an integer number (159020550).

Almost surely, 2^11352804480 is an apocalyptic number.

11352804480 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 11352804480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20354630400).

11352804480 is an abundant number, since it is smaller than the sum of its proper divisors (29356456320).

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

11352804480 is an frugal number, since it uses more digits than its factorization.

11352804480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8151 (or 8121 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 11352804480 in words is "eleven billion, three hundred fifty-two million, eight hundred four thousand, four hundred eighty".