11451530000 has 100 divisors (see below), whose sum is σ = 28181313468. Its totient is φ = 4505280000.

The previous prime is 11451529979. The next prime is 11451530017. The reversal of 11451530000 is 3515411.

It can be written as a sum of positive squares in 10 ways, for example, as 8036763904 + 3414766096 = 89648^2 + 58436^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×11451530000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 600614 + ... + 619386.

Almost surely, 2^11451530000 is an apocalyptic number.

11451530000 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 11451530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14090656734).

11451530000 is an abundant number, since it is smaller than the sum of its proper divisors (16729783468).

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

11451530000 is an equidigital number, since it uses as much as digits as its factorization.

11451530000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18862 (or 18841 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The spelling of 11451530000 in words is "eleven billion, four hundred fifty-one million, five hundred thirty thousand".