53346252960 has 1728 divisors, whose sum is σ = 264269101824. Its totient is φ = 9599385600.

The previous prime is 53346252959. The next prime is 53346252979. The reversal of 53346252960 is 6925264335.

53346252960 is a `hidden beast` number, since 5 + 3 + 3 + 4 + 62 + 529 + 60 = 666.

53346252960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 287 ways as a sum of consecutive naturals, for example, 171531205 + ... + 171531515.

It is an arithmetic number, because the mean of its divisors is an integer number (152933508).

Almost surely, 2^53346252960 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 53346252960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132134550912).

53346252960 is an abundant number, since it is smaller than the sum of its proper divisors (210922848864).

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

53346252960 is a wasteful number, since it uses less digits than its factorization.

53346252960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 53346252960 in words is "fifty-three billion, three hundred forty-six million, two hundred fifty-two thousand, nine hundred sixty".