83920886141400 has 1536 divisors, whose sum is σ = 393897074688000. Its totient is φ = 15882863616000.

The previous prime is 83920886141347. The next prime is 83920886141413. The reversal of 83920886141400 is 414168802938.

It is a happy number.

83920886141400 is a `hidden beast` number, since 8 + 3 + 9 + 2 + 0 + 8 + 8 + 614 + 14 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 383 ways as a sum of consecutive naturals, for example, 218935111 + ... + 219318089.

It is an arithmetic number, because the mean of its divisors is an integer number (256443408000).

Almost surely, 2^{83920886141400} 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 83920886141400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196948537344000).

83920886141400 is an abundant number, since it is smaller than the sum of its proper divisors (309976188546600).

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

83920886141400 is a wasteful number, since it uses less digits than its factorization.

83920886141400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383070 (or 383055 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 83920886141400 in words is "eighty-three trillion, nine hundred twenty billion, eight hundred eighty-six million, one hundred forty-one thousand, four hundred".