32257126450928 has 320 divisors, whose sum is σ = 67973857966080. Its totient is φ = 14793633693696.

The previous prime is 32257126450873. The next prime is 32257126450937. The reversal of 32257126450928 is 82905462175223.

It is a super-2 number, since 2×32257126450928² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

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, 73478647733 + ... + 73478648171.

It is an arithmetic number, because the mean of its divisors is an integer number (212418306144).

It is a 1-persistent number, because it is pandigital, but 2⋅32257126450928 = 64514252901856 is not.

Almost surely, 2^{32257126450928} 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 32257126450928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33986928983040).

32257126450928 is an abundant number, since it is smaller than the sum of its proper divisors (35716731515152).

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

32257126450928 is a wasteful number, since it uses less digits than its factorization.

32257126450928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 56.

The spelling of 32257126450928 in words is "thirty-two trillion, two hundred fifty-seven billion, one hundred twenty-six million, four hundred fifty thousand, nine hundred twenty-eight".