83294951040 has 576 divisors, whose sum is σ = 335860710120. Its totient is φ = 18966528000.

The previous prime is 83294951027. The next prime is 83294951081. The reversal of 83294951040 is 4015949238.

83294951040 is a `hidden beast` number, since 8 + 3 + 2 + 94 + 9 + 510 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 55240041024 + 28054910016 = 235032^2 + 167496^2 .

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 118822690 + ... + 118823390.

Almost surely, 2^83294951040 is an apocalyptic number.

83294951040 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 83294951040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167930355060).

83294951040 is an abundant number, since it is smaller than the sum of its proper divisors (252565759080).

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

83294951040 is a wasteful number, since it uses less digits than its factorization.

83294951040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 83294951040 in words is "eighty-three billion, two hundred ninety-four million, nine hundred fifty-one thousand, forty".