320126978054520 has 2048 divisors, whose sum is σ = 1426790047334400. Its totient is φ = 61998200782848.

The previous prime is 320126978054509. The next prime is 320126978054531. The reversal of 320126978054520 is 25450879621023.

320126978054520 is a `hidden beast` number, since 3 + 2 + 0 + 1 + 2 + 6 + 9 + 78 + 0 + 545 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (320126978054509) and next prime (320126978054531).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 6105422224 + ... + 6105474656.

It is an arithmetic number, because the mean of its divisors is an integer number (696674827800).

It is a 1-persistent number, because it is pandigital, but 2⋅320126978054520 = 640253956109040 is not.

Almost surely, 2^{320126978054520} is an apocalyptic number.

320126978054520 is a gapful number since it is divisible by the number (30) 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 320126978054520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713395023667200).

320126978054520 is an abundant number, since it is smaller than the sum of its proper divisors (1106663069279880).

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

320126978054520 is a wasteful number, since it uses less digits than its factorization.

320126978054520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52606 (or 52596 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 320126978054520 in words is "three hundred twenty trillion, one hundred twenty-six billion, nine hundred seventy-eight million, fifty-four thousand, five hundred twenty".