220961653436160 has 1440 divisors, whose sum is σ = 977144667176832. Its totient is φ = 46426556989440.

The previous prime is 220961653436137. The next prime is 220961653436177. The reversal of 220961653436160 is 61634356169022.

220961653436160 is a `hidden beast` number, since 2 + 2 + 0 + 9 + 6 + 16 + 5 + 3 + 4 + 3 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 220961653436097 and 220961653436106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2273757492 + ... + 2273854668.

Almost surely, 2^{220961653436160} is an apocalyptic number.

220961653436160 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 220961653436160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488572333588416).

220961653436160 is an abundant number, since it is smaller than the sum of its proper divisors (756183013740672).

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

220961653436160 is a wasteful number, since it uses less digits than its factorization.

220961653436160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97471 (or 97448 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 220961653436160 in words is "two hundred twenty trillion, nine hundred sixty-one billion, six hundred fifty-three million, four hundred thirty-six thousand, one hundred sixty".