220105505894400 has 936 divisors, whose sum is σ = 901404249736224. Its totient is φ = 50286978662400.

The previous prime is 220105505894399. The next prime is 220105505894411. The reversal of 220105505894400 is 4498505501022.

220105505894400 is a `hidden beast` number, since 2 + 2 + 0 + 1 + 0 + 550 + 5 + 8 + 94 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17140831980 + ... + 17140844820.

Almost surely, 2^{220105505894400} is an apocalyptic number.

220105505894400 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 220105505894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450702124868112).

220105505894400 is an abundant number, since it is smaller than the sum of its proper divisors (681298743841824).

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

220105505894400 is a wasteful number, since it uses less digits than its factorization.

220105505894400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15545 (or 15515 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 220105505894400 in words is "two hundred twenty trillion, one hundred five billion, five hundred five million, eight hundred ninety-four thousand, four hundred".