220519502039040 has 1152 divisors, whose sum is σ = 770493059481600. Its totient is φ = 53731875225600.

The previous prime is 220519502039029. The next prime is 220519502039099. The reversal of 220519502039040 is 40930205915022.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 220519502038983 and 220519502039001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53641326585 + ... + 53641330695.

It is an arithmetic number, because the mean of its divisors is an integer number (668830780800).

Almost surely, 2^{220519502039040} is an apocalyptic number.

220519502039040 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 220519502039040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385246529740800).

220519502039040 is an abundant number, since it is smaller than the sum of its proper divisors (549973557442560).

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

220519502039040 is a wasteful number, since it uses less digits than its factorization.

220519502039040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4305 (or 4254 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The spelling of 220519502039040 in words is "two hundred twenty trillion, five hundred nineteen billion, five hundred two million, thirty-nine thousand, forty".