220258402560 has 1296 divisors, whose sum is σ = 940460032512. Its totient is φ = 47377612800.

The previous prime is 220258402547. The next prime is 220258402649. The reversal of 220258402560 is 65204852022.

220258402560 is a `hidden beast` number, since 2 + 2 + 0 + 2 + 58 + 40 + 2 + 560 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 717453927 + ... + 717454233.

Almost surely, 2^220258402560 is an apocalyptic number.

220258402560 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 220258402560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470230016256).

220258402560 is an abundant number, since it is smaller than the sum of its proper divisors (720201629952).

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

220258402560 is a wasteful number, since it uses less digits than its factorization.

220258402560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 220258402560 in words is "two hundred twenty billion, two hundred fifty-eight million, four hundred two thousand, five hundred sixty".