220220157209904 has 240 divisors, whose sum is σ = 631517111166240. Its totient is φ = 71614730465280.

The previous prime is 220220157209893. The next prime is 220220157209909. The reversal of 220220157209904 is 409902751022022.

220220157209904 is a `hidden beast` number, since 2 + 202 + 2 + 0 + 157 + 209 + 90 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 220220157209904.

It is not an unprimeable number, because it can be changed into a prime (220220157209909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4233267414 + ... + 4233319434.

It is an arithmetic number, because the mean of its divisors is an integer number (2631321296526).

Almost surely, 2^{220220157209904} is an apocalyptic number.

220220157209904 is a gapful number since it is divisible by the number (24) 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 220220157209904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315758555583120).

220220157209904 is an abundant number, since it is smaller than the sum of its proper divisors (411296953956336).

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

220220157209904 is a wasteful number, since it uses less digits than its factorization.

220220157209904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55868 (or 55859 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 220220157209904 in words is "two hundred twenty trillion, two hundred twenty billion, one hundred fifty-seven million, two hundred nine thousand, nine hundred four".