60859206144 has 480 divisors, whose sum is σ = 202242680640. Its totient is φ = 18139852800.

The previous prime is 60859206131. The next prime is 60859206157. The reversal of 60859206144 is 44160295806.

60859206144 is a `hidden beast` number, since 6 + 0 + 8 + 5 + 9 + 20 + 614 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (60859206131) and next prime (60859206157).

It is a self number, because there is not a number n which added to its sum of digits gives 60859206144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 997691874 + ... + 997691934.

It is an arithmetic number, because the mean of its divisors is an integer number (421338918).

Almost surely, 2^60859206144 is an apocalyptic number.

60859206144 is a gapful number since it is divisible by the number (64) 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 60859206144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101121340320).

60859206144 is an abundant number, since it is smaller than the sum of its proper divisors (141383474496).

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

60859206144 is an frugal number, since it uses more digits than its factorization.

60859206144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 60859206144 in words is "sixty billion, eight hundred fifty-nine million, two hundred six thousand, one hundred forty-four".