5978207462400 has 396 divisors, whose sum is σ = 22197604821392. Its totient is φ = 1594186997760.

The previous prime is 5978207462389. The next prime is 5978207462411. The reversal of 5978207462400 is 42647028795.

5978207462400 is a `hidden beast` number, since 5 + 9 + 7 + 8 + 2 + 0 + 7 + 4 + 624 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5978207462389) and next prime (5978207462411).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5740299 + ... + 6701301.

Almost surely, 2^{5978207462400} is an apocalyptic number.

5978207462400 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 5978207462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11098802410696).

5978207462400 is an abundant number, since it is smaller than the sum of its proper divisors (16219397358992).

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

5978207462400 is an equidigital number, since it uses as much as digits as its factorization.

5978207462400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961048 (or 961013 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 5978207462400 in words is "five trillion, nine hundred seventy-eight billion, two hundred seven million, four hundred sixty-two thousand, four hundred".