220869585590400 has 1152 divisors, whose sum is σ = 818040811560960. Its totient is φ = 56698461388800.

The previous prime is 220869585590371. The next prime is 220869585590411. The reversal of 220869585590400 is 4095585968022.

220869585590400 is a `hidden beast` number, since 2 + 2 + 0 + 8 + 6 + 9 + 585 + 5 + 9 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 53726484345 + ... + 53726488455.

Almost surely, 2^{220869585590400} is an apocalyptic number.

220869585590400 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 220869585590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409020405780480).

220869585590400 is an abundant number, since it is smaller than the sum of its proper divisors (597171225970560).

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

220869585590400 is a wasteful number, since it uses less digits than its factorization.

220869585590400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4702 (or 4682 counting only the distinct ones).

The product of its (nonzero) digits is 62208000, while the sum is 63.

The spelling of 220869585590400 in words is "two hundred twenty trillion, eight hundred sixty-nine billion, five hundred eighty-five million, five hundred ninety thousand, four hundred".