52725781440 has 896 divisors, whose sum is σ = 204146749440. Its totient is φ = 12773376000.

The previous prime is 52725781399. The next prime is 52725781481. The reversal of 52725781440 is 4418752725.

52725781440 is a `hidden beast` number, since 5 + 2 + 72 + 578 + 1 + 4 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (52725781399) and next prime (52725781481).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 522037390 + ... + 522037490.

Almost surely, 2^52725781440 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 52725781440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102073374720).

52725781440 is an abundant number, since it is smaller than the sum of its proper divisors (151420968000).

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

52725781440 is a wasteful number, since it uses less digits than its factorization.

52725781440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 627200, while the sum is 45.

The spelling of 52725781440 in words is "fifty-two billion, seven hundred twenty-five million, seven hundred eighty-one thousand, four hundred forty".