5205978086400 has 2640 divisors, whose sum is σ = 24271772507136. Its totient is φ = 1073202462720.

The previous prime is 5205978086399. The next prime is 5205978086459. The reversal of 5205978086400 is 46808795025.

5205978086400 is a `hidden beast` number, since 5 + 2 + 0 + 597 + 8 + 0 + 8 + 6 + 40 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 8868786907 + ... + 8868787493.

Almost surely, 2^{5205978086400} is an apocalyptic number.

5205978086400 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 5205978086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12135886253568).

5205978086400 is an abundant number, since it is smaller than the sum of its proper divisors (19065794420736).

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

5205978086400 is a wasteful number, since it uses less digits than its factorization.

5205978086400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 5205978086400 in words is "five trillion, two hundred five billion, nine hundred seventy-eight million, eighty-six thousand, four hundred".