475918571520 has 1152 divisors, whose sum is σ = 1983306124800. Its totient is φ = 107208769536.

The previous prime is 475918571437. The next prime is 475918571573. The reversal of 475918571520 is 25175819574.

475918571520 is a `hidden beast` number, since 4 + 7 + 5 + 9 + 18 + 571 + 52 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×475918571520² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 1550223207 + ... + 1550223513.

It is an arithmetic number, because the mean of its divisors is an integer number (1721619900).

Almost surely, 2^475918571520 is an apocalyptic number.

475918571520 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 475918571520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991653062400).

475918571520 is an abundant number, since it is smaller than the sum of its proper divisors (1507387553280).

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

475918571520 is an equidigital number, since it uses as much as digits as its factorization.

475918571520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 3528000, while the sum is 54.

The spelling of 475918571520 in words is "four hundred seventy-five billion, nine hundred eighteen million, five hundred seventy-one thousand, five hundred twenty".