220415887800 has 480 divisors, whose sum is σ = 807744841200. Its totient is φ = 55551744000.

The previous prime is 220415887789. The next prime is 220415887807. The reversal of 220415887800 is 8788514022.

It is a happy number.

220415887800 is a `hidden beast` number, since 2 + 20 + 41 + 588 + 7 + 8 + 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 not an unprimeable number, because it can be changed into a prime (220415887807) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 234235330 + ... + 234236270.

Almost surely, 2^220415887800 is an apocalyptic number.

220415887800 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 220415887800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403872420600).

220415887800 is an abundant number, since it is smaller than the sum of its proper divisors (587328953400).

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

220415887800 is a wasteful number, since it uses less digits than its factorization.

220415887800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1749 (or 1731 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 220415887800 in words is "two hundred twenty billion, four hundred fifteen million, eight hundred eighty-seven thousand, eight hundred".