36245589120 has 384 divisors, whose sum is σ = 137346496560. Its totient is φ = 8752693248.

The previous prime is 36245589113. The next prime is 36245589157. The reversal of 36245589120 is 2198554263.

36245589120 is a `hidden beast` number, since 3 + 6 + 2 + 4 + 558 + 91 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 18432949824 + 17812639296 = 135768^2 + 133464^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3964074 + ... + 3973206.

Almost surely, 2^36245589120 is an apocalyptic number.

36245589120 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 36245589120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68673248280).

36245589120 is an abundant number, since it is smaller than the sum of its proper divisors (101100907440).

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

36245589120 is a wasteful number, since it uses less digits than its factorization.

36245589120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9224 (or 9209 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 36245589120 in words is "thirty-six billion, two hundred forty-five million, five hundred eighty-nine thousand, one hundred twenty".