36066120351030 has 1152 divisors, whose sum is σ = 124474542206976. Its totient is φ = 7156545177600.

The previous prime is 36066120351017. The next prime is 36066120351073. The reversal of 36066120351030 is 3015302166063.

36066120351030 is a `hidden beast` number, since 3 + 6 + 0 + 6 + 612 + 0 + 3 + 5 + 1 + 0 + 30 = 666.

It is a super-3 number, since 3×36066120351030³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 40844982969 + ... + 40844983851.

It is an arithmetic number, because the mean of its divisors is an integer number (108050817888).

Almost surely, 2^{36066120351030} is an apocalyptic number.

36066120351030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 36066120351030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62237271103488).

36066120351030 is an abundant number, since it is smaller than the sum of its proper divisors (88408421855946).

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

36066120351030 is a wasteful number, since it uses less digits than its factorization.

36066120351030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 36066120351030 in words is "thirty-six trillion, sixty-six billion, one hundred twenty million, three hundred fifty-one thousand, thirty".