52972133760 has 1536 divisors, whose sum is σ = 247005158400. Its totient is φ = 10534551552.

The previous prime is 52972133759. The next prime is 52972133789. The reversal of 52972133760 is 6733127925.

52972133760 is a `hidden beast` number, since 5 + 297 + 21 + 337 + 6 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 268893982 + ... + 268894178.

It is an arithmetic number, because the mean of its divisors is an integer number (160810650).

Almost surely, 2^52972133760 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 52972133760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123502579200).

52972133760 is an abundant number, since it is smaller than the sum of its proper divisors (194033024640).

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

52972133760 is a wasteful number, since it uses less digits than its factorization.

52972133760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The spelling of 52972133760 in words is "fifty-two billion, nine hundred seventy-two million, one hundred thirty-three thousand, seven hundred sixty".