52420766112000 has 6480 divisors, whose sum is σ = 247911982141824. Its totient is φ = 10959556608000.

The previous prime is 52420766111983. The next prime is 52420766112059. The reversal of 52420766112000 is 21166702425.

It is a happy number.

52420766112000 is a `hidden beast` number, since 52 + 420 + 7 + 6 + 61 + 120 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 1219087583979 + ... + 1219087584021.

Almost surely, 2^{52420766112000} is an apocalyptic number.

52420766112000 is a gapful number since it is divisible by the number (50) 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 52420766112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123955991070912).

52420766112000 is an abundant number, since it is smaller than the sum of its proper divisors (195491216029824).

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

52420766112000 is a wasteful number, since it uses less digits than its factorization.

52420766112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 52420766112000 in words is "fifty-two trillion, four hundred twenty billion, seven hundred sixty-six million, one hundred twelve thousand".