5258178979200 has 384 divisors, whose sum is σ = 21992544768000. Its totient is φ = 1201869342720.

The previous prime is 5258178979187. The next prime is 5258178979201. The reversal of 5258178979200 is 29798718525.

5258178979200 is a `hidden beast` number, since 5 + 258 + 178 + 9 + 7 + 9 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5258178979201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3742240 + ... + 4951839.

It is an arithmetic number, because the mean of its divisors is an integer number (57272252000).

Almost surely, 2^{5258178979200} is an apocalyptic number.

5258178979200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5258178979200 is an abundant number, since it is smaller than the sum of its proper divisors (16734365788800).

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

5258178979200 is a wasteful number, since it uses less digits than its factorization.

5258178979200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8694119 (or 8694096 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 63.

The spelling of 5258178979200 in words is "five trillion, two hundred fifty-eight billion, one hundred seventy-eight million, nine hundred seventy-nine thousand, two hundred".