36085432320 has 912 divisors, whose sum is σ = 157034442240. Its totient is φ = 7474249728.

The previous prime is 36085432259. The next prime is 36085432349. The reversal of 36085432320 is 2323458063.

It is a happy number.

36085432320 is a `hidden beast` number, since 3 + 608 + 5 + 4 + 3 + 23 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (912).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1568931829 + ... + 1568931851.

Almost surely, 2^36085432320 is an apocalyptic number.

36085432320 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 36085432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78517221120).

36085432320 is an abundant number, since it is smaller than the sum of its proper divisors (120949009920).

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

36085432320 is an equidigital number, since it uses as much as digits as its factorization.

36085432320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 36085432320 in words is "thirty-six billion, eighty-five million, four hundred thirty-two thousand, three hundred twenty".