5045814954180 has 1440 divisors, whose sum is σ = 21950522415360. Its totient is φ = 941525544960.

The previous prime is 5045814954149. The next prime is 5045814954211. The reversal of 5045814954180 is 814594185405.

5045814954180 is a `hidden beast` number, since 5 + 0 + 4 + 5 + 8 + 14 + 9 + 541 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (5045814954149) and next prime (5045814954211).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 779995986 + ... + 780002454.

It is an arithmetic number, because the mean of its divisors is an integer number (15243418344).

Almost surely, 2^{5045814954180} 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 5045814954180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10975261207680).

5045814954180 is an abundant number, since it is smaller than the sum of its proper divisors (16904707461180).

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

5045814954180 is a wasteful number, since it uses less digits than its factorization.

5045814954180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6571 (or 6547 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 54.

The spelling of 5045814954180 in words is "five trillion, forty-five billion, eight hundred fourteen million, nine hundred fifty-four thousand, one hundred eighty".