36101088480 has 384 divisors, whose sum is σ = 125199043200. Its totient is φ = 8703442944.

The previous prime is 36101088427. The next prime is 36101088547. The reversal of 36101088480 is 8488010163.

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 63 ways as a sum of consecutive naturals, for example, 88266516 + ... + 88266924.

It is an arithmetic number, because the mean of its divisors is an integer number (326039175).

Almost surely, 2^36101088480 is an apocalyptic number.

36101088480 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 36101088480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62599521600).

36101088480 is an abundant number, since it is smaller than the sum of its proper divisors (89097954720).

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

36101088480 is a wasteful number, since it uses less digits than its factorization.

36101088480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The spelling of 36101088480 in words is "thirty-six billion, one hundred one million, eighty-eight thousand, four hundred eighty".