52037141518656 has 448 divisors, whose sum is σ = 176556389990400. Its totient is φ = 14721405585408.

The previous prime is 52037141518631. The next prime is 52037141518721. The reversal of 52037141518656 is 65681514173025.

52037141518656 is a `hidden beast` number, since 5 + 2 + 0 + 3 + 71 + 4 + 1 + 518 + 6 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×52037141518656³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2897866030 + ... + 2897883986.

It is an arithmetic number, because the mean of its divisors is an integer number (394099084800).

Almost surely, 2^{52037141518656} is an apocalyptic number.

52037141518656 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52037141518656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88278194995200).

52037141518656 is an abundant number, since it is smaller than the sum of its proper divisors (124519248471744).

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

52037141518656 is a wasteful number, since it uses less digits than its factorization.

52037141518656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20331 (or 20315 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 52037141518656 in words is "fifty-two trillion, thirty-seven billion, one hundred forty-one million, five hundred eighteen thousand, six hundred fifty-six".