477128171520 has 1792 divisors, whose sum is σ = 2282904207360. Its totient is φ = 91304755200.

The previous prime is 477128171497. The next prime is 477128171537. The reversal of 477128171520 is 25171821774.

It is a happy number.

477128171520 is a `hidden beast` number, since 47 + 7 + 1 + 2 + 81 + 7 + 1 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a super-2 number, since 2×477128171520² (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 an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1107025705 + ... + 1107026135.

It is an arithmetic number, because the mean of its divisors is an integer number (1273942080).

Almost surely, 2^477128171520 is an apocalyptic number.

477128171520 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 477128171520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141452103680).

477128171520 is an abundant number, since it is smaller than the sum of its proper divisors (1805776035840).

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

477128171520 is a wasteful number, since it uses less digits than its factorization.

477128171520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 219520, while the sum is 45.

The spelling of 477128171520 in words is "four hundred seventy-seven billion, one hundred twenty-eight million, one hundred seventy-one thousand, five hundred twenty".