5368412401920 has 360 divisors, whose sum is σ = 19220375091456. Its totient is φ = 1430740979712.

The previous prime is 5368412401901. The next prime is 5368412401921. The reversal of 5368412401920 is 291042148635.

5368412401920 is a `hidden beast` number, since 5 + 3 + 6 + 8 + 412 + 40 + 192 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (5368412401921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 188994439 + ... + 189022841.

Almost surely, 2^{5368412401920} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5368412401920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9610187545728).

5368412401920 is an abundant number, since it is smaller than the sum of its proper divisors (13851962689536).

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

5368412401920 is a wasteful number, since it uses less digits than its factorization.

5368412401920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30259 (or 30236 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 5368412401920 in words is "five trillion, three hundred sixty-eight billion, four hundred twelve million, four hundred one thousand, nine hundred twenty".