36172138496000 has 960 divisors, whose sum is σ = 100495241892864. Its totient is φ = 12914786304000.

The previous prime is 36172138495981. The next prime is 36172138496017. The reversal of 36172138496000 is 69483127163.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a self number, because there is not a number n which added to its sum of digits gives 36172138496000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 171431935895 + ... + 171431936105.

Almost surely, 2^{36172138496000} 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 36172138496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50247620946432).

36172138496000 is an abundant number, since it is smaller than the sum of its proper divisors (64323103396864).

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

36172138496000 is a wasteful number, since it uses less digits than its factorization.

36172138496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 50.

The spelling of 36172138496000 in words is "thirty-six trillion, one hundred seventy-two billion, one hundred thirty-eight million, four hundred ninety-six thousand".