60334006057272 has 320 divisors, whose sum is σ = 183637875548160. Its totient is φ = 18451620633600.

The previous prime is 60334006057223. The next prime is 60334006057277. The reversal of 60334006057272 is 27275060043306.

60334006057272 is a `hidden beast` number, since 6 + 0 + 3 + 3 + 4 + 0 + 0 + 6 + 0 + 572 + 72 = 666.

It is a super-3 number, since 3×60334006057272³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60334006057277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 51630897 + ... + 52786527.

It is an arithmetic number, because the mean of its divisors is an integer number (573868361088).

Almost surely, 2^{60334006057272} is an apocalyptic number.

60334006057272 is a gapful number since it is divisible by the number (62) 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 60334006057272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91818937774080).

60334006057272 is an abundant number, since it is smaller than the sum of its proper divisors (123303869490888).

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

60334006057272 is a wasteful number, since it uses less digits than its factorization.

60334006057272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155816 (or 1155803 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 45.

The spelling of 60334006057272 in words is "sixty trillion, three hundred thirty-four billion, six million, fifty-seven thousand, two hundred seventy-two".