84952363200 has 168 divisors, whose sum is σ = 279044796240. Its totient is φ = 22627123200.

The previous prime is 84952363159. The next prime is 84952363241. The reversal of 84952363200 is 236325948.

It is an interprime number because it is at equal distance from previous prime (84952363159) and next prime (84952363241).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4218756 + ... + 4238844.

It is an arithmetic number, because the mean of its divisors is an integer number (1660980930).

Almost surely, 2^84952363200 is an apocalyptic number.

84952363200 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 84952363200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139522398120).

84952363200 is an abundant number, since it is smaller than the sum of its proper divisors (194092433040).

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

84952363200 is a wasteful number, since it uses less digits than its factorization.

84952363200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20995 (or 20980 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 84952363200 in words is "eighty-four billion, nine hundred fifty-two million, three hundred sixty-three thousand, two hundred".