32054795136 has 576 divisors, whose sum is σ = 117019393920. Its totient is φ = 8242311168.

The previous prime is 32054795117. The next prime is 32054795137. The reversal of 32054795136 is 63159745023.

32054795136 is a `hidden beast` number, since 3 + 2 + 0 + 547 + 95 + 13 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 32054795091 and 32054795100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32054795137) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 58600815 + ... + 58601361.

It is an arithmetic number, because the mean of its divisors is an integer number (203158670).

Almost surely, 2^32054795136 is an apocalyptic number.

32054795136 is a gapful number since it is divisible by the number (36) 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 32054795136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58509696960).

32054795136 is an abundant number, since it is smaller than the sum of its proper divisors (84964598784).

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

32054795136 is a wasteful number, since it uses less digits than its factorization.

32054795136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 32054795136 in words is "thirty-two billion, fifty-four million, seven hundred ninety-five thousand, one hundred thirty-six".