470822572523520 has 2016 divisors, whose sum is σ = 1989943298703360. Its totient is φ = 100526393917440.

The previous prime is 470822572523437. The next prime is 470822572523549. The reversal of 470822572523520 is 25325275228074.

470822572523520 is a `hidden beast` number, since 4 + 7 + 0 + 8 + 2 + 25 + 72 + 5 + 23 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1072488775461 + ... + 1072488775899.

It is an arithmetic number, because the mean of its divisors is an integer number (987075048960).

Almost surely, 2^{470822572523520} is an apocalyptic number.

470822572523520 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 470822572523520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994971649351680).

470822572523520 is an abundant number, since it is smaller than the sum of its proper divisors (1519120726179840).

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

470822572523520 is an equidigital number, since it uses as much as digits as its factorization.

470822572523520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 18816000, while the sum is 54.

The spelling of 470822572523520 in words is "four hundred seventy trillion, eight hundred twenty-two billion, five hundred seventy-two million, five hundred twenty-three thousand, five hundred twenty".