220078980990000 has 800 divisors, whose sum is σ = 861967072243200. Its totient is φ = 53301525120000.

The previous prime is 220078980989981. The next prime is 220078980990013. The reversal of 220078980990000 is 99089870022.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3157075146 + ... + 3157144854.

It is an arithmetic number, because the mean of its divisors is an integer number (1077458840304).

Almost surely, 2^{220078980990000} is an apocalyptic number.

220078980990000 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 220078980990000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430983536121600).

220078980990000 is an abundant number, since it is smaller than the sum of its proper divisors (641888091253200).

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

220078980990000 is a wasteful number, since it uses less digits than its factorization.

220078980990000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70820 (or 70793 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 220078980990000 in words is "two hundred twenty trillion, seventy-eight billion, nine hundred eighty million, nine hundred ninety thousand".