5291840160000 has 1215 divisors, whose sum is σ = 20081075017003. Its totient is φ = 1391281920000.

The previous prime is 5291840159993. The next prime is 5291840160029. The reversal of 5291840160000 is 610481925.

The square root of 5291840160000 is 2300400.

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

5291840160000 is a `hidden beast` number, since 5 + 2 + 9 + 1 + 8 + 40 + 1 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 414880268544 + 4876959891456 = 644112^2 + 2208384^2 .

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 (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 74532959965 + ... + 74532960035.

Almost surely, 2^{5291840160000} is an apocalyptic number.

5291840160000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5291840160000 is the 2300400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5291840160000

5291840160000 is an abundant number, since it is smaller than the sum of its proper divisors (14789234857003).

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

5291840160000 is an frugal number, since it uses more digits than its factorization.

5291840160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Multiplying 5291840160000 by its sum of digits (36), we get a square (190506245760000 = 13802400²).

5291840160000 divided by its sum of digits (36) gives a square (146995560000 = 383400²).

The spelling of 5291840160000 in words is "five trillion, two hundred ninety-one billion, eight hundred forty million, one hundred sixty thousand".