451785485099520 has 5760 divisors, whose sum is σ = 2084732106462720. Its totient is φ = 89122123284480.

The previous prime is 451785485099513. The next prime is 451785485099561. The reversal of 451785485099520 is 25990584587154.

451785485099520 is a `hidden beast` number, since 4 + 5 + 1 + 7 + 8 + 5 + 4 + 8 + 5 + 0 + 99 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a super-2 number, since 2×451785485099520² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 887594273026 + ... + 887594273534.

It is an arithmetic number, because the mean of its divisors is an integer number (361932657372).

Almost surely, 2^{451785485099520} is an apocalyptic number.

451785485099520 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 451785485099520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042366053231360).

451785485099520 is an abundant number, since it is smaller than the sum of its proper divisors (1632946621363200).

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

451785485099520 is a wasteful number, since it uses less digits than its factorization.

451785485099520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 725760000, while the sum is 72.

The spelling of 451785485099520 in words is "four hundred fifty-one trillion, seven hundred eighty-five billion, four hundred eighty-five million, ninety-nine thousand, five hundred twenty".