84121928816640 has 1536 divisors, whose sum is σ = 335482670315520. Its totient is φ = 17679620505600.

The previous prime is 84121928816633. The next prime is 84121928816671. The reversal of 84121928816640 is 4661882912148.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 48318166170 + ... + 48318167910.

It is an arithmetic number, because the mean of its divisors is an integer number (218413196820).

Almost surely, 2^{84121928816640} is an apocalyptic number.

84121928816640 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 84121928816640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167741335157760).

84121928816640 is an abundant number, since it is smaller than the sum of its proper divisors (251360741498880).

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

84121928816640 is a wasteful number, since it uses less digits than its factorization.

84121928816640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2459 (or 2439 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 60.

The spelling of 84121928816640 in words is "eighty-four trillion, one hundred twenty-one billion, nine hundred twenty-eight million, eight hundred sixteen thousand, six hundred forty".