84252303360 has 896 divisors, whose sum is σ = 322731993600. Its totient is φ = 20808990720.

The previous prime is 84252303337. The next prime is 84252303407. The reversal of 84252303360 is 6330325248.

It is a happy number.

84252303360 is a `hidden beast` number, since 8 + 42 + 523 + 0 + 33 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1186652125 + ... + 1186652195.

Almost surely, 2^84252303360 is an apocalyptic number.

84252303360 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 84252303360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161365996800).

84252303360 is an abundant number, since it is smaller than the sum of its proper divisors (238479690240).

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

84252303360 is a wasteful number, since it uses less digits than its factorization.

84252303360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 84252303360 in words is "eighty-four billion, two hundred fifty-two million, three hundred three thousand, three hundred sixty".