36421521120 has 144 divisors (see below), whose sum is σ = 125519520672. Its totient is φ = 9616204800.

The previous prime is 36421521119. The next prime is 36421521133. The reversal of 36421521120 is 2112512463.

36421521120 is a `hidden beast` number, since 3 + 6 + 421 + 5 + 211 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20229 + ... + 270651.

It is an arithmetic number, because the mean of its divisors is an integer number (871663338).

Almost surely, 2^36421521120 is an apocalyptic number.

36421521120 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 36421521120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62759760336).

36421521120 is an abundant number, since it is smaller than the sum of its proper divisors (89097999552).

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

36421521120 is a wasteful number, since it uses less digits than its factorization.

36421521120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250545 (or 250534 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 36421521120 in words is "thirty-six billion, four hundred twenty-one million, five hundred twenty-one thousand, one hundred twenty".