506455505100 has 360 divisors, whose sum is σ = 1829799916560. Its totient is φ = 120419758080.

The previous prime is 506455505099. The next prime is 506455505107. The reversal of 506455505100 is 1505554605.

506455505100 is a `hidden beast` number, since 5 + 0 + 6 + 45 + 5 + 505 + 100 = 666.

It is a super-2 number, since 2×506455505100² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (506455505107) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2519512 + ... + 2713088.

It is an arithmetic number, because the mean of its divisors is an integer number (5082777546).

Almost surely, 2^506455505100 is an apocalyptic number.

506455505100 is a gapful number since it is divisible by the number (50) 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 506455505100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914899958280).

506455505100 is an abundant number, since it is smaller than the sum of its proper divisors (1323344411460).

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

506455505100 is a wasteful number, since it uses less digits than its factorization.

506455505100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193639 (or 193623 counting only the distinct ones).

The product of its (nonzero) digits is 75000, while the sum is 36.

The spelling of 506455505100 in words is "five hundred six billion, four hundred fifty-five million, five hundred five thousand, one hundred".