84152408362880 has 768 divisors, whose sum is σ = 242480969599680. Its totient is φ = 27733553971200.

The previous prime is 84152408362877. The next prime is 84152408362901. The reversal of 84152408362880 is 8826380425148.

It is a happy number.

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 95 ways as a sum of consecutive naturals, for example, 50786003012 + ... + 50786004668.

Almost surely, 2^{84152408362880} is an apocalyptic number.

84152408362880 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 84152408362880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121240484799840).

84152408362880 is an abundant number, since it is smaller than the sum of its proper divisors (158328561236800).

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

84152408362880 is a wasteful number, since it uses less digits than its factorization.

84152408362880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2599 (or 2576 counting only the distinct ones).

The product of its (nonzero) digits is 23592960, while the sum is 59.

The spelling of 84152408362880 in words is "eighty-four trillion, one hundred fifty-two billion, four hundred eight million, three hundred sixty-two thousand, eight hundred eighty".