475787520000 has 1200 divisors, whose sum is σ = 1917880784820. Its totient is φ = 116785152000.

The previous prime is 475787519969. The next prime is 475787520011. The reversal of 475787520000 is 25787574.

475787520000 is a `hidden beast` number, since 4 + 7 + 578 + 75 + 2 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 120037303296 + 355750216704 = 346464^2 + 596448^2 .

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 1347839824 + ... + 1347840176.

Almost surely, 2^475787520000 is an apocalyptic number.

475787520000 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 475787520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958940392410).

475787520000 is an abundant number, since it is smaller than the sum of its proper divisors (1442093264820).

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

475787520000 is an equidigital number, since it uses as much as digits as its factorization.

475787520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 548800, while the sum is 45.

The spelling of 475787520000 in words is "four hundred seventy-five billion, seven hundred eighty-seven million, five hundred twenty thousand".