216631254400 has 192 divisors, whose sum is σ = 584915866560. Its totient is φ = 78624000000.

The previous prime is 216631254331. The next prime is 216631254401. The reversal of 216631254400 is 4452136612.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216631254401) 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, 19248775 + ... + 19260025.

It is an arithmetic number, because the mean of its divisors is an integer number (3046436805).

Almost surely, 2^216631254400 is an apocalyptic number.

216631254400 is a gapful number since it is divisible by the number (20) 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 216631254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292457933280).

216631254400 is an abundant number, since it is smaller than the sum of its proper divisors (368284612160).

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

216631254400 is a wasteful number, since it uses less digits than its factorization.

216631254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11833 (or 11816 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 216631254400 in words is "two hundred sixteen billion, six hundred thirty-one million, two hundred fifty-four thousand, four hundred".