52705775370240 has 720 divisors, whose sum is σ = 193267799944128. Its totient is φ = 13259319017472.

The previous prime is 52705775370233. The next prime is 52705775370251. The reversal of 52705775370240 is 4207357750725.

52705775370240 is a `hidden beast` number, since 5 + 27 + 0 + 5 + 7 + 7 + 5 + 370 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1237871832 + ... + 1237914408.

Almost surely, 2^{52705775370240} 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 52705775370240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96633899972064).

52705775370240 is an abundant number, since it is smaller than the sum of its proper divisors (140562024573888).

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

52705775370240 is a wasteful number, since it uses less digits than its factorization.

52705775370240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42712 (or 42683 counting only the distinct ones).

The product of its (nonzero) digits is 14406000, while the sum is 54.

The spelling of 52705775370240 in words is "fifty-two trillion, seven hundred five billion, seven hundred seventy-five million, three hundred seventy thousand, two hundred forty".