510478460550 has 192 divisors, whose sum is σ = 1455233912640. Its totient is φ = 131479925760.

The previous prime is 510478460549. The next prime is 510478460603. The reversal of 510478460550 is 55064874015.

510478460550 is a `hidden beast` number, since 5 + 10 + 4 + 7 + 84 + 6 + 0 + 550 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 510478460496 and 510478460505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6805852 + ... + 6880448.

It is an arithmetic number, because the mean of its divisors is an integer number (7579343295).

Almost surely, 2^510478460550 is an apocalyptic number.

510478460550 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 510478460550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727616956320).

510478460550 is an abundant number, since it is smaller than the sum of its proper divisors (944755452090).

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

510478460550 is a wasteful number, since it uses less digits than its factorization.

510478460550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74792 (or 74781 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 510478460550 in words is "five hundred ten billion, four hundred seventy-eight million, four hundred sixty thousand, five hundred fifty".