466520060100 has 144 divisors (see below), whose sum is σ = 1363428734976. Its totient is φ = 123153408000.

The previous prime is 466520060077. The next prime is 466520060119. The reversal of 466520060100 is 1060025664.

It is a super-2 number, since 2×466520060100² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17550820 + ... + 17577380.

It is an arithmetic number, because the mean of its divisors is an integer number (9468255104).

Almost surely, 2^466520060100 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 466520060100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681714367488).

466520060100 is an abundant number, since it is smaller than the sum of its proper divisors (896908674876).

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

466520060100 is a wasteful number, since it uses less digits than its factorization.

466520060100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27166 (or 27159 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 466520060100 its reverse (1060025664), we get a palindrome (467580085764).

The spelling of 466520060100 in words is "four hundred sixty-six billion, five hundred twenty million, sixty thousand, one hundred".