83194525440 has 1152 divisors, whose sum is σ = 339216353280. Its totient is φ = 19152764928.

The previous prime is 83194525423. The next prime is 83194525451. The reversal of 83194525440 is 4452549138.

83194525440 is a `hidden beast` number, since 8 + 31 + 94 + 525 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 857675472 + ... + 857675568.

It is an arithmetic number, because the mean of its divisors is an integer number (294458640).

Almost surely, 2^83194525440 is an apocalyptic number.

83194525440 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 83194525440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169608176640).

83194525440 is an abundant number, since it is smaller than the sum of its proper divisors (256021827840).

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

83194525440 is a wasteful number, since it uses less digits than its factorization.

83194525440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 83194525440 in words is "eighty-three billion, one hundred ninety-four million, five hundred twenty-five thousand, four hundred forty".