4515220252800 has 1152 divisors, whose sum is σ = 17252780126400. Its totient is φ = 1121137459200.

The previous prime is 4515220252769. The next prime is 4515220252883. The reversal of 4515220252800 is 82520225154.

4515220252800 is a `hidden beast` number, since 4 + 5 + 1 + 522 + 0 + 2 + 52 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13641148635 + ... + 13641148965.

Almost surely, 2^{4515220252800} is an apocalyptic number.

4515220252800 is a gapful number since it is divisible by the number (40) 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 4515220252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8626390063200).

4515220252800 is an abundant number, since it is smaller than the sum of its proper divisors (12737559873600).

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

4515220252800 is a wasteful number, since it uses less digits than its factorization.

4515220252800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

Adding to 4515220252800 its reverse (82520225154), we get a palindrome (4597740477954).

The spelling of 4515220252800 in words is "four trillion, five hundred fifteen billion, two hundred twenty million, two hundred fifty-two thousand, eight hundred".