220615401600 has 384 divisors, whose sum is σ = 880794072000. Its totient is φ = 53482291200.

The previous prime is 220615401569. The next prime is 220615401623. The reversal of 220615401600 is 6104516022.

220615401600 is a `hidden beast` number, since 2 + 2 + 0 + 6 + 1 + 54 + 0 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 834336 + ... + 1066464.

Almost surely, 2^220615401600 is an apocalyptic number.

220615401600 is a gapful number since it is divisible by the number (20) 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 220615401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440397036000).

220615401600 is an abundant number, since it is smaller than the sum of its proper divisors (660178670400).

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

220615401600 is a wasteful number, since it uses less digits than its factorization.

220615401600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232173 (or 232150 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 220615401600 its reverse (6104516022), we get a palindrome (226719917622).

The spelling of 220615401600 in words is "two hundred twenty billion, six hundred fifteen million, four hundred one thousand, six hundred".