60505180151040 has 432 divisors, whose sum is σ = 210199529034768. Its totient is φ = 16068702633984.

The previous prime is 60505180151023. The next prime is 60505180151071. The reversal of 60505180151040 is 4015108150506.

60505180151040 is a `hidden beast` number, since 6 + 0 + 50 + 51 + 8 + 0 + 1 + 510 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 23166432175104 + 37338747975936 = 4813152^2 + 6110544^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 60505180150986 and 60505180151004.

It is a congruent number.

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, 3637650564 + ... + 3637667196.

Almost surely, 2^{60505180151040} is an apocalyptic number.

60505180151040 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 60505180151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105099764517384).

60505180151040 is an abundant number, since it is smaller than the sum of its proper divisors (149694348883728).

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

60505180151040 is a wasteful number, since it uses less digits than its factorization.

60505180151040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17934 (or 17917 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 36.

The spelling of 60505180151040 in words is "sixty trillion, five hundred five billion, one hundred eighty million, one hundred fifty-one thousand, forty".