52073929440 has 864 divisors, whose sum is σ = 209391358176. Its totient is φ = 11731599360.

The previous prime is 52073929421. The next prime is 52073929469. The reversal of 52073929440 is 4492937025.

52073929440 is a `hidden beast` number, since 52 + 0 + 73 + 92 + 9 + 440 = 666.

52073929440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 169621767 + ... + 169622073.

It is an arithmetic number, because the mean of its divisors is an integer number (242351109).

Almost surely, 2^52073929440 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 52073929440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104695679088).

52073929440 is an abundant number, since it is smaller than the sum of its proper divisors (157317428736).

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

52073929440 is a wasteful number, since it uses less digits than its factorization.

52073929440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 52073929440 in words is "fifty-two billion, seventy-three million, nine hundred twenty-nine thousand, four hundred forty".