60142072320 has 1440 divisors, whose sum is σ = 256740067584. Its totient is φ = 13430292480.

The previous prime is 60142072267. The next prime is 60142072339. The reversal of 60142072320 is 2327024106.

60142072320 is a `hidden beast` number, since 6 + 0 + 1 + 420 + 7 + 232 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×60142072320² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1279618537 + ... + 1279618583.

Almost surely, 2^60142072320 is an apocalyptic number.

60142072320 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 60142072320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128370033792).

60142072320 is an abundant number, since it is smaller than the sum of its proper divisors (196597995264).

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

60142072320 is a wasteful number, since it uses less digits than its factorization.

60142072320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 60142072320 its reverse (2327024106), we get a palindrome (62469096426).

The spelling of 60142072320 in words is "sixty billion, one hundred forty-two million, seventy-two thousand, three hundred twenty".