60142867200 has 864 divisors, whose sum is σ = 243667529280. Its totient is φ = 14421196800.

The previous prime is 60142867199. The next prime is 60142867201. The reversal of 60142867200 is 276824106.

60142867200 is a `hidden beast` number, since 601 + 4 + 28 + 6 + 7 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (60142867199) and next prime (60142867201).

It is a tau number, because it is divible by the number of its divisors (864).

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

It is not an unprimeable number, because it can be changed into a prime (60142867201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 92102074 + ... + 92102726.

Almost surely, 2^60142867200 is an apocalyptic number.

60142867200 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 60142867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121833764640).

60142867200 is an abundant number, since it is smaller than the sum of its proper divisors (183524662080).

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

60142867200 is a wasteful number, since it uses less digits than its factorization.

60142867200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 60142867200 in words is "sixty billion, one hundred forty-two million, eight hundred sixty-seven thousand, two hundred".