472105916100 has 1728 divisors, whose sum is σ = 1997504151552. Its totient is φ = 94058496000.

The previous prime is 472105916059. The next prime is 472105916129. The reversal of 472105916100 is 1619501274.

472105916100 is a `hidden beast` number, since 4 + 7 + 2 + 1 + 0 + 591 + 61 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 4867071252 + ... + 4867071348.

Almost surely, 2^472105916100 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 472105916100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (998752075776).

472105916100 is an abundant number, since it is smaller than the sum of its proper divisors (1525398235452).

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

472105916100 is a wasteful number, since it uses less digits than its factorization.

472105916100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 472105916100 in words is "four hundred seventy-two billion, one hundred five million, nine hundred sixteen thousand, one hundred".