36116668871360 has 672 divisors, whose sum is σ = 111426756226560. Its totient is φ = 10831878144000.

The previous prime is 36116668871341. The next prime is 36116668871383. The reversal of 36116668871360 is 6317886661163.

It is a super-3 number, since 3×36116668871360³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a junction number, because it is equal to n+sod(n) for n = 36116668871293 and 36116668871302.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4238543900 + ... + 4238552420.

Almost surely, 2^{36116668871360} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36116668871360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55713378113280).

36116668871360 is an abundant number, since it is smaller than the sum of its proper divisors (75310087355200).

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

36116668871360 is a wasteful number, since it uses less digits than its factorization.

36116668871360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8797 (or 8756 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 62.

The spelling of 36116668871360 in words is "thirty-six trillion, one hundred sixteen billion, six hundred sixty-eight million, eight hundred seventy-one thousand, three hundred sixty".