84329903290880 has 160 divisors (see below), whose sum is σ = 217859403762000. Its totient is φ = 31121195139072.

The previous prime is 84329903290859. The next prime is 84329903290937. The reversal of 84329903290880 is 8809230992348.

It can be written as a sum of positive squares in 8 ways, for example, as 63877946247424 + 20451957043456 = 7992368^2 + 4522384^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×84329903290880² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (65).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64212656 + ... + 65512784.

Almost surely, 2^{84329903290880} is an apocalyptic number.

84329903290880 is a gapful number since it is divisible by the number (80) 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 84329903290880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108929701881000).

84329903290880 is an abundant number, since it is smaller than the sum of its proper divisors (133529500471120).

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

84329903290880 is a wasteful number, since it uses less digits than its factorization.

84329903290880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302114 (or 1302098 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 65.

The spelling of 84329903290880 in words is "eighty-four trillion, three hundred twenty-nine billion, nine hundred three million, two hundred ninety thousand, eight hundred eighty".