475953153552 has 160 divisors (see below), whose sum is σ = 1387071638400. Its totient is φ = 156235143168.

The previous prime is 475953153551. The next prime is 475953153569. The reversal of 475953153552 is 255351359574.

475953153552 is a `hidden beast` number, since 4 + 7 + 5 + 9 + 5 + 31 + 53 + 552 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (475953153551) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11201724 + ... + 11244132.

It is an arithmetic number, because the mean of its divisors is an integer number (8669197740).

Almost surely, 2^475953153552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 475953153552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693535819200).

475953153552 is an abundant number, since it is smaller than the sum of its proper divisors (911118484848).

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

475953153552 is a wasteful number, since it uses less digits than its factorization.

475953153552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42822 (or 42810 counting only the distinct ones).

The product of its digits is 14175000, while the sum is 54.

The spelling of 475953153552 in words is "four hundred seventy-five billion, nine hundred fifty-three million, one hundred fifty-three thousand, five hundred fifty-two".