216155268900 has 576 divisors, whose sum is σ = 753251788800. Its totient is φ = 53005155840.

The previous prime is 216155268893. The next prime is 216155268907. The reversal of 216155268900 is 9862551612.

216155268900 is a `hidden beast` number, since 2 + 1 + 6 + 1 + 552 + 6 + 8 + 90 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (216155268893) and next prime (216155268907).

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

It is not an unprimeable number, because it can be changed into a prime (216155268907) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 290921929 + ... + 290922671.

It is an arithmetic number, because the mean of its divisors is an integer number (1307728800).

Almost surely, 2^216155268900 is an apocalyptic number.

216155268900 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 216155268900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376625894400).

216155268900 is an abundant number, since it is smaller than the sum of its proper divisors (537096519900).

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

216155268900 is a wasteful number, since it uses less digits than its factorization.

216155268900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 216155268900 in words is "two hundred sixteen billion, one hundred fifty-five million, two hundred sixty-eight thousand, nine hundred".