36433959887952 has 960 divisors, whose sum is σ = 129666700800000. Its totient is φ = 9725265285120.

The previous prime is 36433959887921. The next prime is 36433959887957. The reversal of 36433959887952 is 25978895933463.

36433959887952 is a `hidden beast` number, since 3 + 6 + 433 + 9 + 5 + 98 + 8 + 7 + 95 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36433959887957) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1401347049 + ... + 1401373047.

It is an arithmetic number, because the mean of its divisors is an integer number (135069480000).

Almost surely, 2^{36433959887952} 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 36433959887952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64833350400000).

36433959887952 is an abundant number, since it is smaller than the sum of its proper divisors (93232740912048).

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

36433959887952 is a wasteful number, since it uses less digits than its factorization.

36433959887952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26157 (or 26134 counting only the distinct ones).

The product of its digits is 10581580800, while the sum is 81.

The spelling of 36433959887952 in words is "thirty-six trillion, four hundred thirty-three billion, nine hundred fifty-nine million, eight hundred eighty-seven thousand, nine hundred fifty-two".