84081627115200 has 3528 divisors, whose sum is σ = 388155780096336. Its totient is φ = 17700913152000.

The previous prime is 84081627115097. The next prime is 84081627115271. The reversal of 84081627115200 is 251172618048.

84081627115200 is a `hidden beast` number, since 8 + 4 + 0 + 8 + 1 + 627 + 1 + 15 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 36861738060 + ... + 36861740340.

Almost surely, 2^{84081627115200} is an apocalyptic number.

84081627115200 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 84081627115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194077890048168).

84081627115200 is an abundant number, since it is smaller than the sum of its proper divisors (304074152981136).

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

84081627115200 is a wasteful number, since it uses less digits than its factorization.

84081627115200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2375 (or 2332 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 84081627115200 in words is "eighty-four trillion, eighty-one billion, six hundred twenty-seven million, one hundred fifteen thousand, two hundred".