420081500160 has 2040 divisors, whose sum is σ = 1952632843920. Its totient is φ = 85614133248.

The previous prime is 420081500149. The next prime is 420081500171. The reversal of 420081500160 is 61005180024.

420081500160 is a `hidden beast` number, since 4 + 20 + 0 + 81 + 500 + 1 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (420081500149) and next prime (420081500171).

It is a tau number, because it is divible by the number of its divisors (2040).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 22109552631 + ... + 22109552649.

Almost surely, 2^420081500160 is an apocalyptic number.

420081500160 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 420081500160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976316421960).

420081500160 is an abundant number, since it is smaller than the sum of its proper divisors (1532551343760).

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

420081500160 is an equidigital number, since it uses as much as digits as its factorization.

420081500160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 420081500160 its reverse (61005180024), we get a palindrome (481086680184).

The spelling of 420081500160 in words is "four hundred twenty billion, eighty-one million, five hundred thousand, one hundred sixty".