36189542880 has 336 divisors, whose sum is σ = 135735962544. Its totient is φ = 9082368000.

The previous prime is 36189542869. The next prime is 36189542891. The reversal of 36189542880 is 8824598163.

36189542880 is a `hidden beast` number, since 3 + 6 + 18 + 9 + 542 + 8 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (36189542869) and next prime (36189542891).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1973755 + ... + 1992005.

It is an arithmetic number, because the mean of its divisors is an integer number (403976079).

Almost surely, 2^36189542880 is an apocalyptic number.

36189542880 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 36189542880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67867981272).

36189542880 is an abundant number, since it is smaller than the sum of its proper divisors (99546419664).

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

36189542880 is a wasteful number, since it uses less digits than its factorization.

36189542880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18301 (or 18278 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 36189542880 in words is "thirty-six billion, one hundred eighty-nine million, five hundred forty-two thousand, eight hundred eighty".