216628156800 has 576 divisors, whose sum is σ = 855215262720. Its totient is φ = 51770880000.

The previous prime is 216628156751. The next prime is 216628156933. The reversal of 216628156800 is 8651826612.

216628156800 is a `hidden beast` number, since 2 + 1 + 6 + 6 + 2 + 81 + 568 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22487985 + ... + 22497615.

It is an arithmetic number, because the mean of its divisors is an integer number (1484748720).

Almost surely, 2^216628156800 is an apocalyptic number.

216628156800 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 216628156800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427607631360).

216628156800 is an abundant number, since it is smaller than the sum of its proper divisors (638587105920).

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

216628156800 is a wasteful number, since it uses less digits than its factorization.

216628156800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9743 (or 9723 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

It can be divided in two parts, 2166281 and 56800, that added together give a square (2223081 = 1491²).

The spelling of 216628156800 in words is "two hundred sixteen billion, six hundred twenty-eight million, one hundred fifty-six thousand, eight hundred".