60142642560 has 2560 divisors, whose sum is σ = 308530252800. Its totient is φ = 10749542400.

The previous prime is 60142642543. The next prime is 60142642577. The reversal of 60142642560 is 6524624106.

60142642560 is a `hidden beast` number, since 6 + 0 + 1 + 4 + 2 + 642 + 5 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (60142642543) and next prime (60142642577).

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 polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 985944930 + ... + 985944990.

It is an arithmetic number, because the mean of its divisors is an integer number (120519630).

Almost surely, 2^60142642560 is an apocalyptic number.

60142642560 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 60142642560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154265126400).

60142642560 is an abundant number, since it is smaller than the sum of its proper divisors (248387610240).

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

60142642560 is a wasteful number, since it uses less digits than its factorization.

60142642560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 60142642560 in words is "sixty billion, one hundred forty-two million, six hundred forty-two thousand, five hundred sixty".