220157068032 has 216 divisors, whose sum is σ = 705543038928. Its totient is φ = 65455104000.

The previous prime is 220157068013. The next prime is 220157068069. The reversal of 220157068032 is 230860751022.

220157068032 is a `hidden beast` number, since 2 + 2 + 0 + 1 + 570 + 6 + 80 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1261282 + ... + 1425182.

It is an arithmetic number, because the mean of its divisors is an integer number (3266402958).

Almost surely, 2^220157068032 is an apocalyptic number.

220157068032 is a gapful number since it is divisible by the number (22) 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 220157068032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352771519464).

220157068032 is an abundant number, since it is smaller than the sum of its proper divisors (485385970896).

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

220157068032 is a wasteful number, since it uses less digits than its factorization.

220157068032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163987 (or 163970 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 220157068032 in words is "two hundred twenty billion, one hundred fifty-seven million, sixty-eight thousand, thirty-two".