36553875456 has 448 divisors, whose sum is σ = 122298439680. Its totient is φ = 9468641280.

The previous prime is 36553875353. The next prime is 36553875467. The reversal of 36553875456 is 65457835563.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 36553875396 and 36553875405.

It is a congruent number.

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, 84811561 + ... + 84811991.

Almost surely, 2^36553875456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36553875456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61149219840).

36553875456 is an abundant number, since it is smaller than the sum of its proper divisors (85744564224).

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

36553875456 is a wasteful number, since it uses less digits than its factorization.

36553875456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 489 counting only the distinct ones).

The product of its digits is 45360000, while the sum is 57.

The spelling of 36553875456 in words is "thirty-six billion, five hundred fifty-three million, eight hundred seventy-five thousand, four hundred fifty-six".