11285507520 has 1344 divisors, whose sum is σ = 51703833600. Its totient is φ = 2299207680.

The previous prime is 11285507449. The next prime is 11285507533. The reversal of 11285507520 is 2570558211.

11285507520 is a `hidden beast` number, since 1 + 1 + 2 + 85 + 50 + 7 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 185008290 + ... + 185008350.

Almost surely, 2^11285507520 is an apocalyptic number.

11285507520 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 11285507520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25851916800).

11285507520 is an abundant number, since it is smaller than the sum of its proper divisors (40418326080).

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

11285507520 is a wasteful number, since it uses less digits than its factorization.

11285507520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 36.

The spelling of 11285507520 in words is "eleven billion, two hundred eighty-five million, five hundred seven thousand, five hundred twenty".