36090028800 has 972 divisors, whose sum is σ = 158230679880. Its totient is φ = 7803371520.

The previous prime is 36090028789. The next prime is 36090028811. The reversal of 36090028800 is 882009063.

It is an interprime number because it is at equal distance from previous prime (36090028789) and next prime (36090028811).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 53625264 + ... + 53625936.

Almost surely, 2^36090028800 is an apocalyptic number.

36090028800 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 36090028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79115339940).

36090028800 is an abundant number, since it is smaller than the sum of its proper divisors (122140651080).

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

36090028800 is a wasteful number, since it uses less digits than its factorization.

36090028800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 36090028800 in words is "thirty-six billion, ninety million, twenty-eight thousand, eight hundred".