36551148889920 has 672 divisors, whose sum is σ = 147866792993280. Its totient is φ = 7591957954560.

The previous prime is 36551148889897. The next prime is 36551148889921. The reversal of 36551148889920 is 2998884115563.

36551148889920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36551148889921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22402665 + ... + 23978775.

Almost surely, 2^{36551148889920} is an apocalyptic number.

36551148889920 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 36551148889920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73933396496640).

36551148889920 is an abundant number, since it is smaller than the sum of its proper divisors (111315644103360).

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

36551148889920 is a wasteful number, since it uses less digits than its factorization.

36551148889920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1576191 (or 1576174 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 69.

The spelling of 36551148889920 in words is "thirty-six trillion, five hundred fifty-one billion, one hundred forty-eight million, eight hundred eighty-nine thousand, nine hundred twenty".