5762016176400 has 405 divisors, whose sum is σ = 21984895697583. Its totient is φ = 1396468339200.

The previous prime is 5762016176381. The next prime is 5762016176401. The reversal of 5762016176400 is 46716102675.

The square root of 5762016176400 is 2400420.

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

5762016176400 is a `hidden beast` number, since 5 + 7 + 6 + 20 + 1 + 617 + 6 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2751763416336 + 3010252760064 = 1658844^2 + 1735008^2 .

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 (5762016176401) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1584275382 + ... + 1584279018.

Almost surely, 2^{5762016176400} is an apocalyptic number.

5762016176400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5762016176400 is the 2400420-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5762016176400

5762016176400 is an abundant number, since it is smaller than the sum of its proper divisors (16222879521183).

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

5762016176400 is a wasteful number, since it uses less digits than its factorization.

5762016176400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7320 (or 3658 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 5762016176400 in words is "five trillion, seven hundred sixty-two billion, sixteen million, one hundred seventy-six thousand, four hundred".