5294179958400 has 1344 divisors, whose sum is σ = 20466822852000. Its totient is φ = 1350889021440.

The previous prime is 5294179958393. The next prime is 5294179958423. The reversal of 5294179958400 is 48599714925.

5294179958400 is a `hidden beast` number, since 5 + 2 + 9 + 4 + 179 + 9 + 58 + 400 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 9403516519 + ... + 9403517081.

Almost surely, 2^{5294179958400} is an apocalyptic number.

5294179958400 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 5294179958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10233411426000).

5294179958400 is an abundant number, since it is smaller than the sum of its proper divisors (15172642893600).

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

5294179958400 is a wasteful number, since it uses less digits than its factorization.

5294179958400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 5294179958400 in words is "five trillion, two hundred ninety-four billion, one hundred seventy-nine million, nine hundred fifty-eight thousand, four hundred".