481880599200 has 5760 divisors, whose sum is σ = 2744104366080. Its totient is φ = 78829977600.

The previous prime is 481880599127. The next prime is 481880599243. The reversal of 481880599200 is 2995088184.

481880599200 is a `hidden beast` number, since 48 + 1 + 8 + 8 + 0 + 599 + 2 + 0 + 0 = 666.

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 959 ways as a sum of consecutive naturals, for example, 20951330389 + ... + 20951330411.

It is an arithmetic number, because the mean of its divisors is an integer number (476407008).

481880599200 is a highly composite number, because it has more divisors than any smaller number.

481880599200 is a superabundant number, because it has a larger abundancy index than any smaller number.

Almost surely, 2^481880599200 is an apocalyptic number.

481880599200 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 481880599200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372052183040).

481880599200 is an abundant number, since it is smaller than the sum of its proper divisors (2262223766880).

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

481880599200 is a wasteful number, since it uses less digits than its factorization.

481880599200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 481880599200 in words is "four hundred eighty-one billion, eight hundred eighty million, five hundred ninety-nine thousand, two hundred".