84057069465600 has 1248 divisors, whose sum is σ = 347016807836160. Its totient is φ = 17439916032000.

The previous prime is 84057069465587. The next prime is 84057069465619. The reversal of 84057069465600 is 656496075048.

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

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, 18190231290 + ... + 18190235910.

Almost surely, 2^{84057069465600} is an apocalyptic number.

84057069465600 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 84057069465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173508403918080).

84057069465600 is an abundant number, since it is smaller than the sum of its proper divisors (262959738370560).

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

84057069465600 is a wasteful number, since it uses less digits than its factorization.

84057069465600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5445 (or 5418 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 60.

The spelling of 84057069465600 in words is "eighty-four trillion, fifty-seven billion, sixty-nine million, four hundred sixty-five thousand, six hundred".