5180436777600 has 960 divisors, whose sum is σ = 22438719663360. Its totient is φ = 1152082206720.

The previous prime is 5180436777577. The next prime is 5180436777611. The reversal of 5180436777600 is 67776340815.

5180436777600 is a `hidden beast` number, since 5 + 1 + 80 + 436 + 7 + 77 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-3 number, since 3×5180436777600³ (a number of 39 digits) contains 333 as substring.

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 119 ways as a sum of consecutive naturals, for example, 67094217 + ... + 67171383.

It is an arithmetic number, because the mean of its divisors is an integer number (23373666316).

Almost surely, 2^{5180436777600} is an apocalyptic number.

5180436777600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5180436777600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11219359831680).

5180436777600 is an abundant number, since it is smaller than the sum of its proper divisors (17258282885760).

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

5180436777600 is a wasteful number, since it uses less digits than its factorization.

5180436777600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77247 (or 77221 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 5180436777600 in words is "five trillion, one hundred eighty billion, four hundred thirty-six million, seven hundred seventy-seven thousand, six hundred".