5417751674880 has 576 divisors, whose sum is σ = 19363517752320. Its totient is φ = 1437207625728.

The previous prime is 5417751674879. The next prime is 5417751674921. The reversal of 5417751674880 is 884761577145.

5417751674880 is a `hidden beast` number, since 5 + 4 + 1 + 77 + 516 + 7 + 48 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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, 3945921874 + ... + 3945923246.

It is an arithmetic number, because the mean of its divisors is an integer number (33617218320).

Almost surely, 2^{5417751674880} 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 5417751674880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9681758876160).

5417751674880 is an abundant number, since it is smaller than the sum of its proper divisors (13945766077440).

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

5417751674880 is an equidigital number, since it uses as much as digits as its factorization.

5417751674880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 52684800, while the sum is 63.

The spelling of 5417751674880 in words is "five trillion, four hundred seventeen billion, seven hundred fifty-one million, six hundred seventy-four thousand, eight hundred eighty".