53075770937344 has 117 divisors (see below), whose sum is σ = 107809840898487. Its totient is φ = 26126411046912.

The previous prime is 53075770937297. The next prime is 53075770937347. The reversal of 53075770937344 is 44373907757035.

It is a happy number.

The square root of 53075770937344 is 7285312.

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

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (53075770937347) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 31239417007 + ... + 31239418705.

It is an arithmetic number, because the mean of its divisors is an integer number (921451631611).

Almost surely, 2^{53075770937344} is an apocalyptic number.

53075770937344 is the 7285312-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53075770937344

53075770937344 is an abundant number, since it is smaller than the sum of its proper divisors (54734069961143).

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

53075770937344 is an frugal number, since it uses more digits than its factorization.

53075770937344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3556 (or 1768 counting only the distinct ones).

The product of its (nonzero) digits is 233377200, while the sum is 64.

53075770937344 divided by its sum of digits (64) gives a square (829308920896 = 910664²).

The spelling of 53075770937344 in words is "fifty-three trillion, seventy-five billion, seven hundred seventy million, nine hundred thirty-seven thousand, three hundred forty-four".