472121617560 has 128 divisors (see below), whose sum is σ = 1424934720000. Its totient is φ = 125138635776.

The previous prime is 472121617559. The next prime is 472121617571. The reversal of 472121617560 is 65716121274.

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 31 ways as a sum of consecutive naturals, for example, 24658471 + ... + 24677609.

It is an arithmetic number, because the mean of its divisors is an integer number (11132302500).

Almost surely, 2^472121617560 is an apocalyptic number.

472121617560 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 472121617560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712467360000).

472121617560 is an abundant number, since it is smaller than the sum of its proper divisors (952813102440).

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

472121617560 is a wasteful number, since it uses less digits than its factorization.

472121617560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20385 (or 20381 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The spelling of 472121617560 in words is "four hundred seventy-two billion, one hundred twenty-one million, six hundred seventeen thousand, five hundred sixty".