485546545152000 has 1280 divisors, whose sum is σ = 1814112246735360. Its totient is φ = 129212153856000.

The previous prime is 485546545151923. The next prime is 485546545152013. The reversal of 485546545152000 is 251545645584.

485546545152000 is a `hidden beast` number, since 4 + 8 + 5 + 5 + 4 + 65 + 4 + 51 + 520 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-5 number, since 5×485546545152000⁵ (a number of 75 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 201388030795 + ... + 201388033205.

It is an arithmetic number, because the mean of its divisors is an integer number (1417275192762).

Almost surely, 2^{485546545152000} is an apocalyptic number.

485546545152000 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 485546545152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907056123367680).

485546545152000 is an abundant number, since it is smaller than the sum of its proper divisors (1328565701583360).

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

485546545152000 is an frugal number, since it uses more digits than its factorization.

485546545152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3075 (or 3028 counting only the distinct ones).

The product of its (nonzero) digits is 19200000, while the sum is 54.

The spelling of 485546545152000 in words is "four hundred eighty-five trillion, five hundred forty-six billion, five hundred forty-five million, one hundred fifty-two thousand".