216990053280 has 2304 divisors, whose sum is σ = 1083937075200. Its totient is φ = 39146250240.

The previous prime is 216990053279. The next prime is 216990053321. The reversal of 216990053280 is 82350099612.

216990053280 is a `hidden beast` number, since 21 + 6 + 9 + 90 + 0 + 532 + 8 + 0 = 666.

It is a super-3 number, since 3×216990053280³ (a number of 35 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1561079451 + ... + 1561079589.

It is an arithmetic number, because the mean of its divisors is an integer number (470458800).

Almost surely, 2^216990053280 is an apocalyptic number.

216990053280 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 216990053280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541968537600).

216990053280 is an abundant number, since it is smaller than the sum of its proper divisors (866947021920).

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

216990053280 is a wasteful number, since it uses less digits than its factorization.

216990053280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 216990053280 in words is "two hundred sixteen billion, nine hundred ninety million, fifty-three thousand, two hundred eighty".