52642033920 has 576 divisors, whose sum is σ = 214935920640. Its totient is φ = 11951235072.

The previous prime is 52642033877. The next prime is 52642033931. The reversal of 52642033920 is 2933024625.

It is a happy number.

52642033920 is a `hidden beast` number, since 5 + 2 + 64 + 203 + 392 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40399989 + ... + 40401291.

It is an arithmetic number, because the mean of its divisors is an integer number (373152640).

Almost surely, 2^52642033920 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 52642033920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107467960320).

52642033920 is an abundant number, since it is smaller than the sum of its proper divisors (162293886720).

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

52642033920 is a wasteful number, since it uses less digits than its factorization.

52642033920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1507 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

It can be divided in two parts, 5264 and 2033920, that added together give a square (2039184 = 1428²).

The spelling of 52642033920 in words is "fifty-two billion, six hundred forty-two million, thirty-three thousand, nine hundred twenty".