32255457600 has 252 divisors, whose sum is σ = 110634613376. Its totient is φ = 8226831360.

The previous prime is 32255457599. The next prime is 32255457607. The reversal of 32255457600 is 675455223.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32255457607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2532849 + ... + 2545551.

Almost surely, 2^32255457600 is an apocalyptic number.

32255457600 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 32255457600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55317306688).

32255457600 is an abundant number, since it is smaller than the sum of its proper divisors (78379155776).

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

32255457600 is a wasteful number, since it uses less digits than its factorization.

32255457600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12774 (or 12736 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 39.

The spelling of 32255457600 in words is "thirty-two billion, two hundred fifty-five million, four hundred fifty-seven thousand, six hundred".