52716465023040 has 4032 divisors, whose sum is σ = 243721530823680. Its totient is φ = 10745242583040.

The previous prime is 52716465023029. The next prime is 52716465023069. The reversal of 52716465023040 is 4032056461725.

52716465023040 is a `hidden beast` number, since 5 + 2 + 71 + 6 + 4 + 6 + 502 + 30 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

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

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 220570983241 + ... + 220570983479.

It is an arithmetic number, because the mean of its divisors is an integer number (60446808240).

Almost surely, 2^{52716465023040} 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 52716465023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121860765411840).

52716465023040 is an abundant number, since it is smaller than the sum of its proper divisors (191005065800640).

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

52716465023040 is a wasteful number, since it uses less digits than its factorization.

52716465023040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 52716465023040 in words is "fifty-two trillion, seven hundred sixteen billion, four hundred sixty-five million, twenty-three thousand, forty".