52416446364450 has 384 divisors, whose sum is σ = 168133050224640. Its totient is φ = 11760086822400.

The previous prime is 52416446364433. The next prime is 52416446364479. The reversal of 52416446364450 is 5446364461425.

52416446364450 is a `hidden beast` number, since 5 + 2 + 4 + 164 + 4 + 6 + 36 + 445 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 152133574 + ... + 152477726.

It is an arithmetic number, because the mean of its divisors is an integer number (437846484960).

Almost surely, 2^{52416446364450} is an apocalyptic number.

52416446364450 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 52416446364450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84066525112320).

52416446364450 is an abundant number, since it is smaller than the sum of its proper divisors (115716603860190).

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

52416446364450 is a wasteful number, since it uses less digits than its factorization.

52416446364450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344479 (or 344468 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 54.

The spelling of 52416446364450 in words is "fifty-two trillion, four hundred sixteen billion, four hundred forty-six million, three hundred sixty-four thousand, four hundred fifty".