5579213702400 has 648 divisors, whose sum is σ = 22415368824576. Its totient is φ = 1313630208000.

The previous prime is 5579213702383. The next prime is 5579213702407. The reversal of 5579213702400 is 42073129755.

It is a happy number.

5579213702400 is a `hidden beast` number, since 5 + 579 + 2 + 1 + 3 + 70 + 2 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×5579213702400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5579213702407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17060425 + ... + 17384375.

Almost surely, 2^{5579213702400} is an apocalyptic number.

5579213702400 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 5579213702400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11207684412288).

5579213702400 is an abundant number, since it is smaller than the sum of its proper divisors (16836155122176).

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

5579213702400 is a wasteful number, since it uses less digits than its factorization.

5579213702400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324019 (or 323997 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 5579213702400 in words is "five trillion, five hundred seventy-nine billion, two hundred thirteen million, seven hundred two thousand, four hundred".