11451513506020 has 192 divisors, whose sum is σ = 28046964621312. Its totient is φ = 3846491712000.

The previous prime is 11451513506011. The next prime is 11451513506047. The reversal of 11451513506020 is 2060531515411.

It is a super-2 number, since 2×11451513506020² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4287349285 + ... + 4287351955.

It is an arithmetic number, because the mean of its divisors is an integer number (146077940736).

Almost surely, 2^{11451513506020} is an apocalyptic number.

11451513506020 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 11451513506020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14023482310656).

11451513506020 is an abundant number, since it is smaller than the sum of its proper divisors (16595451115292).

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

11451513506020 is a wasteful number, since it uses less digits than its factorization.

11451513506020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5322 (or 5320 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 34.

The spelling of 11451513506020 in words is "eleven trillion, four hundred fifty-one billion, five hundred thirteen million, five hundred six thousand, twenty".