220061512788096 has 2048 divisors, whose sum is σ = 793290748723200. Its totient is φ = 52508472901632.

The previous prime is 220061512788067. The next prime is 220061512788097. The reversal of 220061512788096 is 690887215160022.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (220061512788097) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 199511797081 + ... + 199511798183.

It is an arithmetic number, because the mean of its divisors is an integer number (387348998400).

Almost surely, 2^{220061512788096} 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 220061512788096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396645374361600).

220061512788096 is an abundant number, since it is smaller than the sum of its proper divisors (573229235935104).

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

220061512788096 is a wasteful number, since it uses less digits than its factorization.

220061512788096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1386 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 57.

The spelling of 220061512788096 in words is "two hundred twenty trillion, sixty-one billion, five hundred twelve million, seven hundred eighty-eight thousand, ninety-six".