5799421670400 has 3168 divisors, whose sum is σ = 24746646113280. Its totient is φ = 1337720832000.

The previous prime is 5799421670387. The next prime is 5799421670423. The reversal of 5799421670400 is 40761249975.

5799421670400 is a `hidden beast` number, since 5 + 79 + 9 + 4 + 2 + 167 + 0 + 400 = 666.

It is a super-2 number, since 2×5799421670400² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 95072486370 + ... + 95072486430.

Almost surely, 2^{5799421670400} is an apocalyptic number.

5799421670400 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 5799421670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12373323056640).

5799421670400 is an abundant number, since it is smaller than the sum of its proper divisors (18947224442880).

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

5799421670400 is a wasteful number, since it uses less digits than its factorization.

5799421670400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 5799421670400 in words is "five trillion, seven hundred ninety-nine billion, four hundred twenty-one million, six hundred seventy thousand, four hundred".