36412887552 has 320 divisors, whose sum is σ = 105463607040. Its totient is φ = 11133517824.

The previous prime is 36412887509. The next prime is 36412887593. The reversal of 36412887552 is 25578821463.

It is a junction number, because it is equal to n+sod(n) for n = 36412887495 and 36412887504.

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 31 ways as a sum of consecutive naturals, for example, 116334948 + ... + 116335260.

It is an arithmetic number, because the mean of its divisors is an integer number (329573772).

Almost surely, 2^36412887552 is an apocalyptic number.

36412887552 is a gapful number since it is divisible by the number (32) 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 36412887552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52731803520).

36412887552 is an abundant number, since it is smaller than the sum of its proper divisors (69050719488).

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

36412887552 is a wasteful number, since it uses less digits than its factorization.

36412887552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 467 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 51.

The spelling of 36412887552 in words is "thirty-six billion, four hundred twelve million, eight hundred eighty-seven thousand, five hundred fifty-two".