505451352000000 has 1120 divisors, whose sum is σ = 1925926297827840. Its totient is φ = 115393536000000.

The previous prime is 505451351999929. The next prime is 505451352000019. The reversal of 505451352000000 is 253154505.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 221591998860 + ... + 221592001140.

It is an arithmetic number, because the mean of its divisors is an integer number (1719577051632).

Almost surely, 2^{505451352000000} is an apocalyptic number.

505451352000000 is a gapful number since it is divisible by the number (50) 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 505451352000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962963148913920).

505451352000000 is an abundant number, since it is smaller than the sum of its proper divisors (1420474945827840).

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

505451352000000 is an frugal number, since it uses more digits than its factorization.

505451352000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3658 (or 3617 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 30.

The spelling of 505451352000000 in words is "five hundred five trillion, four hundred fifty-one billion, three hundred fifty-two million", and thus it is an aban number.