36105987060 has 384 divisors, whose sum is σ = 136233861120. Its totient is φ = 7818508800.

The previous prime is 36105987041. The next prime is 36105987143. The reversal of 36105987060 is 6078950163.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 36105986997 and 36105987015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2386279 + ... + 2401361.

It is an arithmetic number, because the mean of its divisors is an integer number (354775680).

Almost surely, 2^36105987060 is an apocalyptic number.

36105987060 is a gapful number since it is divisible by the number (30) 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 36105987060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68116930560).

36105987060 is an abundant number, since it is smaller than the sum of its proper divisors (100127874060).

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

36105987060 is a wasteful number, since it uses less digits than its factorization.

36105987060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15156 (or 15148 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

It can be divided in two parts, 36105 and 987060, that added together give a triangular number (1023165 = T₁₄₃₀).

The spelling of 36105987060 in words is "thirty-six billion, one hundred five million, nine hundred eighty-seven thousand, sixty".