506144009829888 has 320 divisors, whose sum is σ = 1553415253632000. Its totient is φ = 162525802586112.

The previous prime is 506144009829803. The next prime is 506144009829907. The reversal of 506144009829888 is 888928900441605.

506144009829888 is a `hidden beast` number, since 5 + 0 + 6 + 1 + 440 + 0 + 98 + 2 + 98 + 8 + 8 = 666.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174555381 + ... + 177431307.

It is an arithmetic number, because the mean of its divisors is an integer number (4854422667600).

Almost surely, 2^{506144009829888} is an apocalyptic number.

506144009829888 is a gapful number since it is divisible by the number (58) 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 506144009829888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776707626816000).

506144009829888 is an abundant number, since it is smaller than the sum of its proper divisors (1047271243802112).

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

506144009829888 is a wasteful number, since it uses less digits than its factorization.

506144009829888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2876422 (or 2876400 counting only the distinct ones).

The product of its (nonzero) digits is 318504960, while the sum is 72.

The spelling of 506144009829888 in words is "five hundred six trillion, one hundred forty-four billion, nine million, eight hundred twenty-nine thousand, eight hundred eighty-eight".