220116096369792 has 2560 divisors, whose sum is σ = 819610616563200. Its totient is φ = 57307960442880.

The previous prime is 220116096369721. The next prime is 220116096369803. The reversal of 220116096369792 is 297963690611022.

220116096369792 is a `hidden beast` number, since 2 + 2 + 0 + 11 + 609 + 6 + 3 + 6 + 9 + 7 + 9 + 2 = 666.

It is a super-3 number, since 3×220116096369792³ (a number of 44 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 508351261608 + ... + 508351262040.

It is an arithmetic number, because the mean of its divisors is an integer number (320160397095).

Almost surely, 2^{220116096369792} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220116096369792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409805308281600).

220116096369792 is an abundant number, since it is smaller than the sum of its proper divisors (599494520193408).

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

220116096369792 is a wasteful number, since it uses less digits than its factorization.

220116096369792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 26453952, while the sum is 63.

The spelling of 220116096369792 in words is "two hundred twenty trillion, one hundred sixteen billion, ninety-six million, three hundred sixty-nine thousand, seven hundred ninety-two".