83294400000 has 960 divisors, whose sum is σ = 330407852544. Its totient is φ = 18247680000.

The previous prime is 83294399983. The next prime is 83294400001. The reversal of 83294400000 is 449238.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83294400001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1243199967 + ... + 1243200033.

Almost surely, 2^83294400000 is an apocalyptic number.

83294400000 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 83294400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165203926272).

83294400000 is an abundant number, since it is smaller than the sum of its proper divisors (247113452544).

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

83294400000 is an frugal number, since it uses more digits than its factorization.

83294400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 83294400000 its reverse (449238), we get a palindrome (83294849238).

The spelling of 83294400000 in words is "eighty-three billion, two hundred ninety-four million, four hundred thousand".