52213199054016 has 448 divisors, whose sum is σ = 187832612782080. Its totient is φ = 12360181616640.

The previous prime is 52213199053979. The next prime is 52213199054069. The reversal of 52213199054016 is 61045099131225.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13463725 + ... + 16902611.

It is an arithmetic number, because the mean of its divisors is an integer number (419269224960).

Almost surely, 2^{52213199054016} is an apocalyptic number.

52213199054016 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52213199054016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93916306391040).

52213199054016 is an abundant number, since it is smaller than the sum of its proper divisors (135619413728064).

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

52213199054016 is a wasteful number, since it uses less digits than its factorization.

52213199054016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3439012 (or 3439002 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 48.

The spelling of 52213199054016 in words is "fifty-two trillion, two hundred thirteen billion, one hundred ninety-nine million, fifty-four thousand, sixteen".