5178346632480 has 1152 divisors, whose sum is σ = 21120678512640. Its totient is φ = 1057635532800.

The previous prime is 5178346632451. The next prime is 5178346632509. The reversal of 5178346632480 is 842366438715.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5178346632451) and next prime (5178346632509).

It is a super-2 number, since 2×5178346632480² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5178346632480.

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, 1278286455 + ... + 1278290505.

It is an arithmetic number, because the mean of its divisors is an integer number (18333922320).

Almost surely, 2^{5178346632480} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5178346632480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10560339256320).

5178346632480 is an abundant number, since it is smaller than the sum of its proper divisors (15942331880160).

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

5178346632480 is a wasteful number, since it uses less digits than its factorization.

5178346632480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4262 (or 4247 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 57.

The spelling of 5178346632480 in words is "five trillion, one hundred seventy-eight billion, three hundred forty-six million, six hundred thirty-two thousand, four hundred eighty".