471516617880 has 3072 divisors, whose sum is σ = 2297714688000. Its totient is φ = 84536524800.

The previous prime is 471516617861. The next prime is 471516617939. The reversal of 471516617880 is 88716615174.

471516617880 is a `hidden beast` number, since 4 + 7 + 1 + 5 + 16 + 617 + 8 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 8896539934 + ... + 8896539986.

It is an arithmetic number, because the mean of its divisors is an integer number (747954000).

Almost surely, 2^471516617880 is an apocalyptic number.

471516617880 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 471516617880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148857344000).

471516617880 is an abundant number, since it is smaller than the sum of its proper divisors (1826198070120).

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

471516617880 is a wasteful number, since it uses less digits than its factorization.

471516617880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 471516617880 in words is "four hundred seventy-one billion, five hundred sixteen million, six hundred seventeen thousand, eight hundred eighty".