36050206187520 has 1120 divisors, whose sum is σ = 151697006036928. Its totient is φ = 8017152049152.

The previous prime is 36050206187503. The next prime is 36050206187549. The reversal of 36050206187520 is 2578160205063.

36050206187520 is a `hidden beast` number, since 3 + 6 + 0 + 5 + 0 + 2 + 0 + 618 + 7 + 5 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 859278864 + ... + 859320816.

Almost surely, 2^{36050206187520} is an apocalyptic number.

36050206187520 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 36050206187520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75848503018464).

36050206187520 is an abundant number, since it is smaller than the sum of its proper divisors (115646799849408).

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

36050206187520 is an equidigital number, since it uses as much as digits as its factorization.

36050206187520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42040 (or 42007 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 36050206187520 in words is "thirty-six trillion, fifty billion, two hundred six million, one hundred eighty-seven thousand, five hundred twenty".