475839900000 has 288 divisors, whose sum is σ = 1734731782560. Its totient is φ = 126889920000.

The previous prime is 475839899999. The next prime is 475839900031. The reversal of 475839900000 is 9938574.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×475839900000² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2611882 + ... + 2788118.

It is an arithmetic number, because the mean of its divisors is an integer number (6023374245).

Almost surely, 2^475839900000 is an apocalyptic number.

475839900000 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 475839900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867365891280).

475839900000 is an abundant number, since it is smaller than the sum of its proper divisors (1258891882560).

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

475839900000 is an equidigital number, since it uses as much as digits as its factorization.

475839900000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176281 (or 176247 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 475839900000 in words is "four hundred seventy-five billion, eight hundred thirty-nine million, nine hundred thousand".