53268417072 has 320 divisors, whose sum is σ = 173988864000. Its totient is φ = 15486170112.

The previous prime is 53268417061. The next prime is 53268417077. The reversal of 53268417072 is 27071486235.

53268417072 is a `hidden beast` number, since 532 + 6 + 8 + 41 + 7 + 0 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (53268417077) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7651129 + ... + 7658087.

It is an arithmetic number, because the mean of its divisors is an integer number (543715200).

Almost surely, 2^53268417072 is an apocalyptic number.

53268417072 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53268417072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86994432000).

53268417072 is an abundant number, since it is smaller than the sum of its proper divisors (120720446928).

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

53268417072 is a wasteful number, since it uses less digits than its factorization.

53268417072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7065 (or 7053 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 53268417072 in words is "fifty-three billion, two hundred sixty-eight million, four hundred seventeen thousand, seventy-two".