220152011523201 has 64 divisors (see below), whose sum is σ = 340407404789760. Its totient is φ = 140466372661440.

The previous prime is 220152011523151. The next prime is 220152011523211. The reversal of 220152011523201 is 102325110251022.

220152011523201 is a `hidden beast` number, since 2 + 2 + 0 + 1 + 520 + 115 + 2 + 3 + 20 + 1 = 666.

It is not a de Polignac number, because 220152011523201 - 2¹⁸ = 220152011261057 is a prime.

It is a super-2 number, since 2×220152011523201² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (220152011523211) 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 63 ways as a sum of consecutive naturals, for example, 23539000 + ... + 31533926.

It is an arithmetic number, because the mean of its divisors is an integer number (5318865699840).

Almost surely, 2^{220152011523201} is an apocalyptic number.

It is an amenable number.

220152011523201 is a deficient number, since it is larger than the sum of its proper divisors (120255393266559).

220152011523201 is a wasteful number, since it uses less digits than its factorization.

220152011523201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7995331 (or 7995325 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 220152011523201 its reverse (102325110251022), we get a palindrome (322477121774223).

The spelling of 220152011523201 in words is "two hundred twenty trillion, one hundred fifty-two billion, eleven million, five hundred twenty-three thousand, two hundred one".