84121596000 has 576 divisors, whose sum is σ = 323682428160. Its totient is φ = 20567347200.

The previous prime is 84121595867. The next prime is 84121596011. The reversal of 84121596000 is 69512148.

84121596000 is a `hidden beast` number, since 8 + 41 + 2 + 1 + 5 + 9 + 600 + 0 = 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 80963481 + ... + 80964519.

It is an arithmetic number, because the mean of its divisors is an integer number (561948660).

Almost surely, 2^84121596000 is an apocalyptic number.

84121596000 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 84121596000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161841214080).

84121596000 is an abundant number, since it is smaller than the sum of its proper divisors (239560832160).

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

84121596000 is a wasteful number, since it uses less digits than its factorization.

84121596000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 84121596000 in words is "eighty-four billion, one hundred twenty-one million, five hundred ninety-six thousand".