52603134186240 has 576 divisors, whose sum is σ = 203823147225600. Its totient is φ = 12740673945600.

The previous prime is 52603134186191. The next prime is 52603134186241. The reversal of 52603134186240 is 4268143130625.

52603134186240 is a `hidden beast` number, since 5 + 2 + 6 + 0 + 3 + 1 + 3 + 4 + 18 + 624 + 0 = 666.

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

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 (52603134186241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 421535055 + ... + 421659825.

It is an arithmetic number, because the mean of its divisors is an integer number (353859630600).

Almost surely, 2^{52603134186240} 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 52603134186240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101911573612800).

52603134186240 is an abundant number, since it is smaller than the sum of its proper divisors (151220013039360).

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

52603134186240 is a wasteful number, since it uses less digits than its factorization.

52603134186240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125921 (or 125901 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 52603134186240 in words is "fifty-two trillion, six hundred three billion, one hundred thirty-four million, one hundred eighty-six thousand, two hundred forty".