220897461657600 has 8064 divisors, whose sum is σ = 1117613134848000. Its totient is φ = 42450341068800.

The previous prime is 220897461657571. The next prime is 220897461657623. The reversal of 220897461657600 is 6756164798022.

220897461657600 is a `hidden beast` number, since 2 + 2 + 0 + 8 + 9 + 7 + 4 + 6 + 16 + 5 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (8064).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 7125724569585 + ... + 7125724569615.

Almost surely, 2^{220897461657600} is an apocalyptic number.

220897461657600 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 220897461657600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558806567424000).

220897461657600 is an abundant number, since it is smaller than the sum of its proper divisors (896715673190400).

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

220897461657600 is a wasteful number, since it uses less digits than its factorization.

220897461657600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 220897461657600 in words is "two hundred twenty trillion, eight hundred ninety-seven billion, four hundred sixty-one million, six hundred fifty-seven thousand, six hundred".