61216032000 has 288 divisors, whose sum is σ = 204970881024. Its totient is φ = 16192512000.

The previous prime is 61216031957. The next prime is 61216032029. The reversal of 61216032000 is 23061216.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12189490 + ... + 12194510.

It is an arithmetic number, because the mean of its divisors is an integer number (711704448).

Almost surely, 2^61216032000 is an apocalyptic number.

61216032000 is a gapful number since it is divisible by the number (60) 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 61216032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102485440512).

61216032000 is an abundant number, since it is smaller than the sum of its proper divisors (143754849024).

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

61216032000 is a wasteful number, since it uses less digits than its factorization.

61216032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5182 (or 5158 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 61216032000 its reverse (23061216), we get a palindrome (61239093216).

The spelling of 61216032000 in words is "sixty-one billion, two hundred sixteen million, thirty-two thousand".