488090803200000 has 4032 divisors, whose sum is σ = 2225643738183936. Its totient is φ = 93516595200000.

The previous prime is 488090803199977. The next prime is 488090803200017. The reversal of 488090803200000 is 2308090884.

It is a happy number.

It is a super-2 number, since 2×488090803200000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 538137599547 + ... + 538137600453.

It is an arithmetic number, because the mean of its divisors is an integer number (551994974748).

Almost surely, 2^{488090803200000} is an apocalyptic number.

488090803200000 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 488090803200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1112821869091968).

488090803200000 is an abundant number, since it is smaller than the sum of its proper divisors (1737552934983936).

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

488090803200000 is an equidigital number, since it uses as much as digits as its factorization.

488090803200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 488090803200000 in words is "four hundred eighty-eight trillion, ninety billion, eight hundred three million, two hundred thousand".