32782201701120 has 1728 divisors, whose sum is σ = 125452097132544. Its totient is φ = 8179048120320.

The previous prime is 32782201701103. The next prime is 32782201701127. The reversal of 32782201701120 is 2110710228723.

It is a happy number.

32782201701120 is a `hidden beast` number, since 3 + 278 + 2 + 201 + 70 + 112 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (32782201701127) 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, 118347298422 + ... + 118347298698.

It is an arithmetic number, because the mean of its divisors is an integer number (72599593248).

Almost surely, 2^{32782201701120} is an apocalyptic number.

32782201701120 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 32782201701120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62726048566272).

32782201701120 is an abundant number, since it is smaller than the sum of its proper divisors (92669895431424).

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

32782201701120 is a wasteful number, since it uses less digits than its factorization.

32782201701120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

Adding to 32782201701120 its reverse (2110710228723), we get a palindrome (34892911929843).

The spelling of 32782201701120 in words is "thirty-two trillion, seven hundred eighty-two billion, two hundred one million, seven hundred one thousand, one hundred twenty".