32152216664400 has 240 divisors, whose sum is σ = 117743493898368. Its totient is φ = 7346845440000.

The previous prime is 32152216664383. The next prime is 32152216664401. The reversal of 32152216664400 is 446661225123.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32152216664401) 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, 27148630 + ... + 28308170.

Almost surely, 2^{32152216664400} is an apocalyptic number.

32152216664400 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 32152216664400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58871746949184).

32152216664400 is an abundant number, since it is smaller than the sum of its proper divisors (85591277233968).

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

32152216664400 is a wasteful number, since it uses less digits than its factorization.

32152216664400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162870 (or 1162859 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

Adding to 32152216664400 its reverse (446661225123), we get a palindrome (32598877889523).

The spelling of 32152216664400 in words is "thirty-two trillion, one hundred fifty-two billion, two hundred sixteen million, six hundred sixty-four thousand, four hundred".