32513066400 has 144 divisors (see below), whose sum is σ = 106443124704. Its totient is φ = 8619924480.

The previous prime is 32513066387. The next prime is 32513066401. The reversal of 32513066400 is 466031523.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (32513066401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 376047 + ... + 454353.

It is an arithmetic number, because the mean of its divisors is an integer number (739188366).

Almost surely, 2^32513066400 is an apocalyptic number.

32513066400 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 32513066400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53221562352).

32513066400 is an abundant number, since it is smaller than the sum of its proper divisors (73930058304).

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

32513066400 is a wasteful number, since it uses less digits than its factorization.

32513066400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78503 (or 78490 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 32513066400 its reverse (466031523), we get a palindrome (32979097923).

The spelling of 32513066400 in words is "thirty-two billion, five hundred thirteen million, sixty-six thousand, four hundred".