506102580000 has 1800 divisors, whose sum is σ = 2105560904832. Its totient is φ = 118914048000.

The previous prime is 506102579981. The next prime is 506102580013. The reversal of 506102580000 is 85201605.

506102580000 is a `hidden beast` number, since 506 + 102 + 58 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a super-2 number, since 2×506102580000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 10768139977 + ... + 10768140023.

Almost surely, 2^506102580000 is an apocalyptic number.

506102580000 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 506102580000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1052780452416).

506102580000 is an abundant number, since it is smaller than the sum of its proper divisors (1599458324832).

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

506102580000 is a wasteful number, since it uses less digits than its factorization.

506102580000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 506102580000 its reverse (85201605), we get a palindrome (506187781605).

The spelling of 506102580000 in words is "five hundred six billion, one hundred two million, five hundred eighty thousand".