32540146796160 has 768 divisors, whose sum is σ = 117703678659840. Its totient is φ = 8590102659072.

The previous prime is 32540146795991. The next prime is 32540146796161. The reversal of 32540146796160 is 6169764104523.

It is a happy number.

32540146796160 is a `hidden beast` number, since 3 + 2 + 5 + 4 + 0 + 14 + 6 + 7 + 9 + 616 + 0 = 666.

It is a super-2 number, since 2×32540146796160² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 32540146796097 and 32540146796106.

It is not an unprimeable number, because it can be changed into a prime (32540146796161) 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 95 ways as a sum of consecutive naturals, for example, 8458575357 + ... + 8458579203.

It is an arithmetic number, because the mean of its divisors is an integer number (153259998255).

Almost surely, 2^{32540146796160} is an apocalyptic number.

32540146796160 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 32540146796160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58851839329920).

32540146796160 is an abundant number, since it is smaller than the sum of its proper divisors (85163531863680).

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

32540146796160 is a wasteful number, since it uses less digits than its factorization.

32540146796160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4415 (or 4391 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 32540146796160 in words is "thirty-two trillion, five hundred forty billion, one hundred forty-six million, seven hundred ninety-six thousand, one hundred sixty".