36189054720 has 1152 divisors, whose sum is σ = 162850222080. Its totient is φ = 7405240320.

The previous prime is 36189054677. The next prime is 36189054743. The reversal of 36189054720 is 2745098163.

36189054720 is a `hidden beast` number, since 3 + 6 + 1 + 89 + 0 + 547 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 116363365 + ... + 116363675.

It is an arithmetic number, because the mean of its divisors is an integer number (141363040).

It is a 1-persistent number, because it is pandigital, but 2⋅36189054720 = 72378109440 is not.

Almost surely, 2^36189054720 is an apocalyptic number.

36189054720 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 36189054720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81425111040).

36189054720 is an abundant number, since it is smaller than the sum of its proper divisors (126661167360).

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

36189054720 is a wasteful number, since it uses less digits than its factorization.

36189054720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 36189054720 in words is "thirty-six billion, one hundred eighty-nine million, fifty-four thousand, seven hundred twenty".