96214381920 has 144 divisors (see below), whose sum is σ = 328439022912. Its totient is φ = 25648773120.

The previous prime is 96214381877. The next prime is 96214381927. The reversal of 96214381920 is 2918341269.

96214381920 is a `hidden beast` number, since 9 + 6 + 21 + 438 + 192 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96214381927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5280025 + ... + 5298215.

It is an arithmetic number, because the mean of its divisors is an integer number (2280826548).

Almost surely, 2^96214381920 is an apocalyptic number.

96214381920 is a gapful number since it is divisible by the number (90) 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 96214381920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164219511456).

96214381920 is an abundant number, since it is smaller than the sum of its proper divisors (232224640992).

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

96214381920 is a wasteful number, since it uses less digits than its factorization.

96214381920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21885 (or 21874 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 96214381920 in words is "ninety-six billion, two hundred fourteen million, three hundred eighty-one thousand, nine hundred twenty".