52393270244040 has 3840 divisors, whose sum is σ = 224082536832000. Its totient is φ = 10844541480960.

The previous prime is 52393270244011. The next prime is 52393270244047. The reversal of 52393270244040 is 4044207239325.

52393270244040 is a `hidden beast` number, since 5 + 239 + 3 + 2 + 7 + 0 + 2 + 4 + 404 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (52393270244047) by changing a digit.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 781989108087 + ... + 781989108153.

It is an arithmetic number, because the mean of its divisors is an integer number (58354827300).

Almost surely, 2^{52393270244040} 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 52393270244040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112041268416000).

52393270244040 is an abundant number, since it is smaller than the sum of its proper divisors (171689266587960).

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

52393270244040 is a wasteful number, since it uses less digits than its factorization.

52393270244040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 52393270244040 in words is "fifty-two trillion, three hundred ninety-three billion, two hundred seventy million, two hundred forty-four thousand, forty".