485054401950000 has 2160 divisors, whose sum is σ = 1887506004384000. Its totient is φ = 120371780160000.

The previous prime is 485054401949983. The next prime is 485054401950017. The reversal of 485054401950000 is 59104450584.

485054401950000 is a `hidden beast` number, since 4 + 8 + 50 + 54 + 40 + 1 + 9 + 500 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (485054401949983) and next prime (485054401950017).

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 367744049341 + ... + 367744050659.

It is an arithmetic number, because the mean of its divisors is an integer number (873845372400).

Almost surely, 2^{485054401950000} is an apocalyptic number.

485054401950000 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 485054401950000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943753002192000).

485054401950000 is an abundant number, since it is smaller than the sum of its proper divisors (1402451602434000).

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

485054401950000 is an frugal number, since it uses more digits than its factorization.

485054401950000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 485054401950000 in words is "four hundred eighty-five trillion, fifty-four billion, four hundred one million, nine hundred fifty thousand".