488972101800 has 768 divisors, whose sum is σ = 1953594961920. Its totient is φ = 98334720000.

The previous prime is 488972101771. The next prime is 488972101819. The reversal of 488972101800 is 8101279884.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 488972101800.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 503575315 + ... + 503576285.

It is an arithmetic number, because the mean of its divisors is an integer number (2543743440).

Almost surely, 2^488972101800 is an apocalyptic number.

488972101800 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 488972101800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976797480960).

488972101800 is an abundant number, since it is smaller than the sum of its proper divisors (1464622860120).

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

488972101800 is a wasteful number, since it uses less digits than its factorization.

488972101800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434 (or 1425 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 48.

The spelling of 488972101800 in words is "four hundred eighty-eight billion, nine hundred seventy-two million, one hundred one thousand, eight hundred".