220155415128 has 320 divisors, whose sum is σ = 713565072000. Its totient is φ = 62714995200.

The previous prime is 220155415127. The next prime is 220155415171. The reversal of 220155415128 is 821514551022.

220155415128 is a `hidden beast` number, since 220 + 1 + 5 + 5 + 415 + 12 + 8 = 666.

It is a super-2 number, since 2×220155415128² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 220155415092 and 220155415101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220155415127) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17735388 + ... + 17747796.

It is an arithmetic number, because the mean of its divisors is an integer number (2229890850).

Almost surely, 2^220155415128 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 220155415128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356782536000).

220155415128 is an abundant number, since it is smaller than the sum of its proper divisors (493409656872).

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

220155415128 is a wasteful number, since it uses less digits than its factorization.

220155415128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12588 (or 12575 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

The spelling of 220155415128 in words is "two hundred twenty billion, one hundred fifty-five million, four hundred fifteen thousand, one hundred twenty-eight".