505379298816 has 1920 divisors, whose sum is σ = 2047471810560. Its totient is φ = 119821565952.

The previous prime is 505379298773. The next prime is 505379298859. The reversal of 505379298816 is 618892973505.

505379298816 is a `hidden beast` number, since 5 + 0 + 537 + 9 + 2 + 9 + 88 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (505379298773) and next prime (505379298859).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13658899950 + ... + 13658899986.

It is an arithmetic number, because the mean of its divisors is an integer number (1066391568).

Almost surely, 2^505379298816 is an apocalyptic number.

505379298816 is a gapful number since it is divisible by the number (56) 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 505379298816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023735905280).

505379298816 is an abundant number, since it is smaller than the sum of its proper divisors (1542092511744).

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

505379298816 is a wasteful number, since it uses less digits than its factorization.

505379298816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 505379298816 in words is "five hundred five billion, three hundred seventy-nine million, two hundred ninety-eight thousand, eight hundred sixteen".