475531097760 has 192 divisors, whose sum is σ = 1736722632960. Its totient is φ = 121294863360.

The previous prime is 475531097753. The next prime is 475531097773. The reversal of 475531097760 is 67790135574.

475531097760 is a `hidden beast` number, since 4 + 7 + 553 + 10 + 9 + 7 + 76 + 0 = 666.

It is a super-2 number, since 2×475531097760² (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 junction number, because it is equal to n+sod(n) for n = 475531097697 and 475531097706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2293611 + ... + 2492330.

It is an arithmetic number, because the mean of its divisors is an integer number (9045430380).

Almost surely, 2^475531097760 is an apocalyptic number.

475531097760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

475531097760 is an abundant number, since it is smaller than the sum of its proper divisors (1261191535200).

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

475531097760 is a wasteful number, since it uses less digits than its factorization.

475531097760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4785988 (or 4785974 counting only the distinct ones).

The product of its (nonzero) digits is 5556600, while the sum is 54.

The spelling of 475531097760 in words is "four hundred seventy-five billion, five hundred thirty-one million, ninety-seven thousand, seven hundred sixty".