84305277121320 has 256 divisors, whose sum is σ = 282941987328000. Its totient is φ = 22327782451200.

The previous prime is 84305277121309. The next prime is 84305277121337. The reversal of 84305277121320 is 2312177250348.

84305277121320 is a `hidden beast` number, since 8 + 4 + 3 + 0 + 527 + 71 + 21 + 32 + 0 = 666.

It is a super-2 number, since 2×84305277121320² (a number of 29 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 148476921 + ... + 149043639.

It is an arithmetic number, because the mean of its divisors is an integer number (1105242138000).

Almost surely, 2^{84305277121320} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84305277121320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141470993664000).

84305277121320 is an abundant number, since it is smaller than the sum of its proper divisors (198636710206680).

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

84305277121320 is a wasteful number, since it uses less digits than its factorization.

84305277121320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567681 (or 567671 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 84305277121320 in words is "eighty-four trillion, three hundred five billion, two hundred seventy-seven million, one hundred twenty-one thousand, three hundred twenty".