220216079462400 has 4680 divisors, whose sum is σ = 1018540290293856. Its totient is φ = 45907181568000.

The previous prime is 220216079462359. The next prime is 220216079462419. The reversal of 220216079462400 is 4264970612022.

220216079462400 is a `hidden beast` number, since 2 + 2 + 0 + 2 + 16 + 0 + 7 + 9 + 4 + 624 + 0 + 0 = 666.

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 359 ways as a sum of consecutive naturals, for example, 2180357222350 + ... + 2180357222450.

Almost surely, 2^{220216079462400} is an apocalyptic number.

220216079462400 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 220216079462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509270145146928).

220216079462400 is an abundant number, since it is smaller than the sum of its proper divisors (798324210831456).

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

220216079462400 is a wasteful number, since it uses less digits than its factorization.

220216079462400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 220216079462400 in words is "two hundred twenty trillion, two hundred sixteen billion, seventy-nine million, four hundred sixty-two thousand, four hundred".