36445515120 has 480 divisors, whose sum is σ = 142678867968. Its totient is φ = 8165670912.

The previous prime is 36445515107. The next prime is 36445515143. The reversal of 36445515120 is 2151554463.

36445515120 is a `hidden beast` number, since 3 + 644 + 5 + 5 + 1 + 5 + 1 + 2 + 0 = 666.

It is a super-2 number, since 2×36445515120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 62087467 + ... + 62088053.

Almost surely, 2^36445515120 is an apocalyptic number.

36445515120 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 36445515120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71339433984).

36445515120 is an abundant number, since it is smaller than the sum of its proper divisors (106233352848).

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

36445515120 is a wasteful number, since it uses less digits than its factorization.

36445515120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 36445515120 in words is "thirty-six billion, four hundred forty-five million, five hundred fifteen thousand, one hundred twenty".