60105733920 has 288 divisors, whose sum is σ = 216591036480. Its totient is φ = 15136450560.

The previous prime is 60105733913. The next prime is 60105733949. The reversal of 60105733920 is 2933750106.

60105733920 is a `hidden beast` number, since 60 + 1 + 0 + 573 + 3 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×60105733920² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9052842 + ... + 9059478.

It is an arithmetic number, because the mean of its divisors is an integer number (752052210).

Almost surely, 2^60105733920 is an apocalyptic number.

60105733920 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 60105733920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108295518240).

60105733920 is an abundant number, since it is smaller than the sum of its proper divisors (156485302560).

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

60105733920 is a wasteful number, since it uses less digits than its factorization.

60105733920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7008 (or 6997 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The spelling of 60105733920 in words is "sixty billion, one hundred five million, seven hundred thirty-three thousand, nine hundred twenty".