84512355952640 has 768 divisors, whose sum is σ = 257678932492800. Its totient is φ = 25837358284800.

The previous prime is 84512355952589. The next prime is 84512355952657. The reversal of 84512355952640 is 4625955321548.

It is a happy number.

84512355952640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 84512355952640.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18709839662 + ... + 18709844178.

It is an arithmetic number, because the mean of its divisors is an integer number (335519443350).

Almost surely, 2^{84512355952640} is an apocalyptic number.

84512355952640 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 84512355952640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128839466246400).

84512355952640 is an abundant number, since it is smaller than the sum of its proper divisors (173166576540160).

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

84512355952640 is a wasteful number, since it uses less digits than its factorization.

84512355952640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5012 (or 4992 counting only the distinct ones).

The product of its (nonzero) digits is 51840000, while the sum is 59.

The spelling of 84512355952640 in words is "eighty-four trillion, five hundred twelve billion, three hundred fifty-five million, nine hundred fifty-two thousand, six hundred forty".