53916770582416 has 135 divisors (see below), whose sum is σ = 122247641225073. Its totient is φ = 22969465760640.

The previous prime is 53916770582413. The next prime is 53916770582453. The reversal of 53916770582416 is 61428507761935.

The square root of 53916770582416 is 7342804.

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

It can be written as a sum of positive squares in only one way, i.e., 53290292000400 + 626478582016 = 7300020^2 + 791504^2 .

It is not an unprimeable number, because it can be changed into a prime (53916770582413) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 39269315106 + ... + 39269316478.

It is a 1-persistent number, because it is pandigital, but 2⋅53916770582416 = 107833541164832 is not.

Almost surely, 2^{53916770582416} is an apocalyptic number.

53916770582416 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

53916770582416 is the 7342804-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53916770582416

53916770582416 is an abundant number, since it is smaller than the sum of its proper divisors (68330870642657).

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

53916770582416 is an frugal number, since it uses more digits than its factorization.

53916770582416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3150 (or 1573 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 64.

The spelling of 53916770582416 in words is "fifty-three trillion, nine hundred sixteen billion, seven hundred seventy million, five hundred eighty-two thousand, four hundred sixteen".