84077971891200 has 1584 divisors, whose sum is σ = 350370314221824. Its totient is φ = 18866818252800.

The previous prime is 84077971891117. The next prime is 84077971891223. The reversal of 84077971891200 is 219817977048.

84077971891200 is a `hidden beast` number, since 8 + 407 + 7 + 9 + 7 + 18 + 9 + 1 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 29428760172 + ... + 29428763028.

Almost surely, 2^{84077971891200} is an apocalyptic number.

84077971891200 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 84077971891200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175185157110912).

84077971891200 is an abundant number, since it is smaller than the sum of its proper divisors (266292342330624).

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

84077971891200 is a wasteful number, since it uses less digits than its factorization.

84077971891200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3228 (or 3202 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 63.

The spelling of 84077971891200 in words is "eighty-four trillion, seventy-seven billion, nine hundred seventy-one million, eight hundred ninety-one thousand, two hundred".