32261020000000 has 432 divisors, whose sum is σ = 88484413713696. Its totient is φ = 11730400000000.

The previous prime is 32261019999979. The next prime is 32261020000003. The reversal of 32261020000000 is 2016223.

It is a super-2 number, since 2×32261020000000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32261020000003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2419993335 + ... + 2420006665.

Almost surely, 2^{32261020000000} 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 32261020000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44242206856848).

32261020000000 is an abundant number, since it is smaller than the sum of its proper divisors (56223393713696).

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

32261020000000 is an frugal number, since it uses more digits than its factorization.

32261020000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13404 (or 13349 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 32261020000000 its reverse (2016223), we get a palindrome (32261022016223).

The spelling of 32261020000000 in words is "thirty-two trillion, two hundred sixty-one billion, twenty million", and thus it is an aban number.