220157104422528 has 3072 divisors, whose sum is σ = 862272552960000. Its totient is φ = 55490750300160.

The previous prime is 220157104422517. The next prime is 220157104422539. The reversal of 220157104422528 is 825224401751022.

220157104422528 is a `hidden beast` number, since 2 + 2 + 0 + 1 + 57 + 10 + 44 + 22 + 528 = 666.

It is an interprime number because it is at equal distance from previous prime (220157104422517) and next prime (220157104422539).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 510805346473 + ... + 510805346903.

It is an arithmetic number, because the mean of its divisors is an integer number (280687680000).

Almost surely, 2^{220157104422528} is an apocalyptic number.

220157104422528 is a gapful number since it is divisible by the number (28) 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 220157104422528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431136276480000).

220157104422528 is an abundant number, since it is smaller than the sum of its proper divisors (642115448537472).

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

220157104422528 is a wasteful number, since it uses less digits than its factorization.

220157104422528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The spelling of 220157104422528 in words is "two hundred twenty trillion, one hundred fifty-seven billion, one hundred four million, four hundred twenty-two thousand, five hundred twenty-eight".