52142024463540 has 384 divisors, whose sum is σ = 176881934573568. Its totient is φ = 11329104568320.

The previous prime is 52142024463491. The next prime is 52142024463541. The reversal of 52142024463540 is 4536442024125.

It is a junction number, because it is equal to n+sod(n) for n = 52142024463492 and 52142024463501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52142024463541) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18175399 + ... + 20847761.

It is an arithmetic number, because the mean of its divisors is an integer number (460630037952).

Almost surely, 2^{52142024463540} 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 52142024463540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88440967286784).

52142024463540 is an abundant number, since it is smaller than the sum of its proper divisors (124739910110028).

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

52142024463540 is a wasteful number, since it uses less digits than its factorization.

52142024463540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2672487 (or 2672485 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 42.

Adding to 52142024463540 its reverse (4536442024125), we get a palindrome (56678466487665).

The spelling of 52142024463540 in words is "fifty-two trillion, one hundred forty-two billion, twenty-four million, four hundred sixty-three thousand, five hundred forty".