52416853440 has 1344 divisors, whose sum is σ = 224751034368. Its totient is φ = 10085990400.

The previous prime is 52416853429. The next prime is 52416853451. The reversal of 52416853440 is 4435861425.

It is an interprime number because it is at equal distance from previous prime (52416853429) and next prime (52416853451).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 52416853392 and 52416853401.

It is a congruent number.

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, 1278459820 + ... + 1278459860.

It is an arithmetic number, because the mean of its divisors is an integer number (167225472).

Almost surely, 2^52416853440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52416853440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112375517184).

52416853440 is an abundant number, since it is smaller than the sum of its proper divisors (172334180928).

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

52416853440 is a wasteful number, since it uses less digits than its factorization.

52416853440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 52416853440 in words is "fifty-two billion, four hundred sixteen million, eight hundred fifty-three thousand, four hundred forty".