11251536000 has 512 divisors, whose sum is σ = 39525408000. Its totient is φ = 2827059200.

The previous prime is 11251535909. The next prime is 11251536007. The reversal of 11251536000 is 63515211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (11251536007) by changing a digit.

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, 82127932 + ... + 82128068.

Almost surely, 2^11251536000 is an apocalyptic number.

11251536000 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 11251536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19762704000).

11251536000 is an abundant number, since it is smaller than the sum of its proper divisors (28273872000).

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

11251536000 is a wasteful number, since it uses less digits than its factorization.

11251536000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

It can be divided in two parts, 1125 and 1536000, that multiplied together give a cube (1728000000 = 1200³).

The spelling of 11251536000 in words is "eleven billion, two hundred fifty-one million, five hundred thirty-six thousand".