53006597222688 has 480 divisors, whose sum is σ = 165425391597312. Its totient is φ = 16614558259200.

The previous prime is 53006597222681. The next prime is 53006597222879. The reversal of 53006597222688 is 88622279560035.

53006597222688 is a `hidden beast` number, since 5 + 30 + 0 + 6 + 597 + 2 + 2 + 2 + 6 + 8 + 8 = 666.

It is a super-3 number, since 3×53006597222688³ (a number of 42 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (53006597222681) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10556977618 + ... + 10556982638.

Almost surely, 2^{53006597222688} 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 53006597222688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82712695798656).

53006597222688 is an abundant number, since it is smaller than the sum of its proper divisors (112418794374624).

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

53006597222688 is a wasteful number, since it uses less digits than its factorization.

53006597222688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8030 (or 8013 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 53006597222688 in words is "fifty-three trillion, six billion, five hundred ninety-seven million, two hundred twenty-two thousand, six hundred eighty-eight".