60264555120 has 960 divisors, whose sum is σ = 270732672000. Its totient is φ = 12175349760.

The previous prime is 60264555107. The next prime is 60264555151. The reversal of 60264555120 is 2155546206.

60264555120 is a `hidden beast` number, since 6 + 0 + 2 + 645 + 5 + 5 + 1 + 2 + 0 = 666.

It is a super-3 number, since 3×60264555120³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 43076181 + ... + 43077579.

It is an arithmetic number, because the mean of its divisors is an integer number (282013200).

Almost surely, 2^60264555120 is an apocalyptic number.

60264555120 is a gapful number since it is divisible by the number (60) 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 60264555120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135366336000).

60264555120 is an abundant number, since it is smaller than the sum of its proper divisors (210468116880).

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

60264555120 is a wasteful number, since it uses less digits than its factorization.

60264555120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1483 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 60264555120 in words is "sixty billion, two hundred sixty-four million, five hundred fifty-five thousand, one hundred twenty".