36067087056000 has 2048 divisors, whose sum is σ = 161496463564800. Its totient is φ = 6876389376000.

The previous prime is 36067087055957. The next prime is 36067087056001. The reversal of 36067087056000 is 65078076063.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (36067087056001) 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, 8312301831 + ... + 8312306169.

It is an arithmetic number, because the mean of its divisors is an integer number (78855695100).

Almost surely, 2^{36067087056000} is an apocalyptic number.

36067087056000 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 36067087056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80748231782400).

36067087056000 is an abundant number, since it is smaller than the sum of its proper divisors (125429376508800).

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

36067087056000 is a wasteful number, since it uses less digits than its factorization.

36067087056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4575 (or 4553 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 36067087056000 in words is "thirty-six trillion, sixty-seven billion, eighty-seven million, fifty-six thousand".