60105665355840 has 1792 divisors, whose sum is σ = 253656023040000. Its totient is φ = 13255523500032.

The previous prime is 60105665355781. The next prime is 60105665355847. The reversal of 60105665355840 is 4855356650106.

60105665355840 is a `hidden beast` number, since 6 + 0 + 1 + 0 + 5 + 6 + 6 + 53 + 5 + 584 + 0 = 666.

It is a super-2 number, since 2×60105665355840² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (60105665355847) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4368454881 + ... + 4368468639.

It is an arithmetic number, because the mean of its divisors is an integer number (141549120000).

Almost surely, 2^{60105665355840} is an apocalyptic number.

60105665355840 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 60105665355840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126828011520000).

60105665355840 is an abundant number, since it is smaller than the sum of its proper divisors (193550357684160).

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

60105665355840 is a wasteful number, since it uses less digits than its factorization.

60105665355840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13929 (or 13913 counting only the distinct ones).

The product of its (nonzero) digits is 12960000, while the sum is 54.

The spelling of 60105665355840 in words is "sixty trillion, one hundred five billion, six hundred sixty-five million, three hundred fifty-five thousand, eight hundred forty".