5759198178480 has 800 divisors, whose sum is σ = 21718248228864. Its totient is φ = 1408801185792.

The previous prime is 5759198178439. The next prime is 5759198178499. The reversal of 5759198178480 is 848718919575.

5759198178480 is a `hidden beast` number, since 5 + 7 + 59 + 1 + 98 + 1 + 7 + 8 + 480 = 666.

It is a super-2 number, since 2×5759198178480² (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 5759198178399 and 5759198178408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2875285159 + ... + 2875287161.

Almost surely, 2^{5759198178480} 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 5759198178480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10859124114432).

5759198178480 is an abundant number, since it is smaller than the sum of its proper divisors (15959050050384).

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

5759198178480 is a wasteful number, since it uses less digits than its factorization.

5759198178480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2695 (or 2680 counting only the distinct ones).

The product of its (nonzero) digits is 203212800, while the sum is 72.

The spelling of 5759198178480 in words is "five trillion, seven hundred fifty-nine billion, one hundred ninety-eight million, one hundred seventy-eight thousand, four hundred eighty".