1135216500 has 192 divisors, whose sum is σ = 3645637632. Its totient is φ = 272208000.

The previous prime is 1135216477. The next prime is 1135216507. The reversal of 1135216500 is 56125311.

It is a zygodrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1135216507) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1765179 + ... + 1765821.

It is an arithmetic number, because the mean of its divisors is an integer number (18987696).

Almost surely, 2^1135216500 is an apocalyptic number.

1135216500 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 1135216500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1822818816).

1135216500 is an abundant number, since it is smaller than the sum of its proper divisors (2510421132).

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

1135216500 is a wasteful number, since it uses less digits than its factorization.

1135216500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 771 counting only the distinct ones).

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

The square root of 1135216500 is about 33692.9740450439. The cubic root of 1135216500 is about 1043.1807514236.

It can be divided in two parts, 113521 and 6500, that added together give a palindrome (120021).

The spelling of 1135216500 in words is "one billion, one hundred thirty-five million, two hundred sixteen thousand, five hundred".