32097944256 has 448 divisors, whose sum is σ = 107287649280. Its totient is φ = 8257536000.

The previous prime is 32097944243. The next prime is 32097944287. The reversal of 32097944256 is 65244979023.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×32097944256² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 32097944199 and 32097944208.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 127880131 + ... + 127880381.

It is an arithmetic number, because the mean of its divisors is an integer number (239481360).

Almost surely, 2^32097944256 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 32097944256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53643824640).

32097944256 is an abundant number, since it is smaller than the sum of its proper divisors (75189705024).

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

32097944256 is a wasteful number, since it uses less digits than its factorization.

32097944256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 51.

The spelling of 32097944256 in words is "thirty-two billion, ninety-seven million, nine hundred forty-four thousand, two hundred fifty-six".