52081405415424 has 2496 divisors, whose sum is σ = 202405151047680. Its totient is φ = 12943687680000.

The previous prime is 52081405415401. The next prime is 52081405415449. The reversal of 52081405415424 is 42451450418025.

52081405415424 is a `hidden beast` number, since 5 + 2 + 0 + 81 + 4 + 0 + 541 + 5 + 4 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 52081405415424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 272677515169 + ... + 272677515359.

Almost surely, 2^{52081405415424} is an apocalyptic number.

52081405415424 is a gapful number since it is divisible by the number (54) 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 52081405415424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101202575523840).

52081405415424 is an abundant number, since it is smaller than the sum of its proper divisors (150323745632256).

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

52081405415424 is a wasteful number, since it uses less digits than its factorization.

52081405415424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 1024000, while the sum is 45.

The spelling of 52081405415424 in words is "fifty-two trillion, eighty-one billion, four hundred five million, four hundred fifteen thousand, four hundred twenty-four".