5936434790400 has 1215 divisors, whose sum is σ = 22561562108449. Its totient is φ = 1549367377920.

The previous prime is 5936434790357. The next prime is 5936434790423. The reversal of 5936434790400 is 40974346395.

It is a happy number.

The square root of 5936434790400 is 2436480.

It is a perfect power (a square), and thus also a powerful number.

5936434790400 is a `hidden beast` number, since 5 + 93 + 6 + 43 + 479 + 0 + 40 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2137116524544 + 3799318265856 = 1461888^2 + 1949184^2 .

It is a tau number, because it is divible by the number of its divisors (1215).

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 126307123177 + ... + 126307123223.

Almost surely, 2^{5936434790400} is an apocalyptic number.

5936434790400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5936434790400 is the 2436480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5936434790400

5936434790400 is an abundant number, since it is smaller than the sum of its proper divisors (16625127318049).

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

5936434790400 is an frugal number, since it uses more digits than its factorization.

5936434790400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 5936434790400 in words is "five trillion, nine hundred thirty-six billion, four hundred thirty-four million, seven hundred ninety thousand, four hundred".