52735006748160 has 1280 divisors, whose sum is σ = 216977706823680. Its totient is φ = 11998364958720.

The previous prime is 52735006748147. The next prime is 52735006748191. The reversal of 52735006748160 is 6184760053725.

52735006748160 is a `hidden beast` number, since 5 + 2 + 7 + 3 + 500 + 6 + 74 + 8 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a junction number, because it is equal to n+sod(n) for n = 52735006748097 and 52735006748106.

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, 4743630922 + ... + 4743642038.

It is an arithmetic number, because the mean of its divisors is an integer number (169513833456).

Almost surely, 2^{52735006748160} 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 52735006748160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108488853411840).

52735006748160 is an abundant number, since it is smaller than the sum of its proper divisors (164242700075520).

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

52735006748160 is a wasteful number, since it uses less digits than its factorization.

52735006748160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11544 (or 11522 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 52735006748160 in words is "fifty-two trillion, seven hundred thirty-five billion, six million, seven hundred forty-eight thousand, one hundred sixty".