480151995220800 has 1344 divisors, whose sum is σ = 2107366619904000. Its totient is φ = 103888614113280.

The previous prime is 480151995220787. The next prime is 480151995220829. The reversal of 480151995220800 is 8022599151084.

480151995220800 is a `hidden beast` number, since 48 + 0 + 1 + 519 + 9 + 5 + 2 + 2 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 7233677212 + ... + 7233743588.

It is an arithmetic number, because the mean of its divisors is an integer number (1567981116000).

Almost surely, 2^{480151995220800} is an apocalyptic number.

480151995220800 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 480151995220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1053683309952000).

480151995220800 is an abundant number, since it is smaller than the sum of its proper divisors (1627214624683200).

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

480151995220800 is a wasteful number, since it uses less digits than its factorization.

480151995220800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67693 (or 67672 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 54.

The spelling of 480151995220800 in words is "four hundred eighty trillion, one hundred fifty-one billion, nine hundred ninety-five million, two hundred twenty thousand, eight hundred".