11288752487700 has 144 divisors (see below), whose sum is σ = 33152417109504. Its totient is φ = 2965153276800.

The previous prime is 11288752487641. The next prime is 11288752487731. The reversal of 11288752487700 is 778425788211.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 462508897 + ... + 462533303.

It is an arithmetic number, because the mean of its divisors is an integer number (230225118816).

Almost surely, 2^{11288752487700} is an apocalyptic number.

11288752487700 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 11288752487700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16576208554752).

11288752487700 is an abundant number, since it is smaller than the sum of its proper divisors (21863664621804).

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

11288752487700 is a wasteful number, since it uses less digits than its factorization.

11288752487700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47502 (or 47495 counting only the distinct ones).

The product of its (nonzero) digits is 14049280, while the sum is 60.

The spelling of 11288752487700 in words is "eleven trillion, two hundred eighty-eight billion, seven hundred fifty-two million, four hundred eighty-seven thousand, seven hundred".