20167315433320 has 128 divisors (see below), whose sum is σ = 50495464229760. Its totient is φ = 7187440296960.

The previous prime is 20167315433297. The next prime is 20167315433339. The reversal of 20167315433320 is 2333451376102.

It is a super-2 number, since 2×20167315433320² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4071262 + ... + 7543858.

It is an arithmetic number, because the mean of its divisors is an integer number (394495814295).

Almost surely, 2^{20167315433320} is an apocalyptic number.

20167315433320 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 20167315433320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25247732114880).

20167315433320 is an abundant number, since it is smaller than the sum of its proper divisors (30328148796440).

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

20167315433320 is a wasteful number, since it uses less digits than its factorization.

20167315433320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3472883 (or 3472879 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 40.

The spelling of 20167315433320 in words is "twenty trillion, one hundred sixty-seven billion, three hundred fifteen million, four hundred thirty-three thousand, three hundred twenty".