83202290519040 has 1848 divisors, whose sum is σ = 379756211013072. Its totient is φ = 17288369602560.

The previous prime is 83202290519003. The next prime is 83202290519063. The reversal of 83202290519040 is 4091509220238.

83202290519040 is a `hidden beast` number, since 8 + 3 + 2 + 0 + 2 + 2 + 90 + 519 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1848).

It is a super-2 number, since 2×83202290519040² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 2011786042 + ... + 2011827398.

Almost surely, 2^{83202290519040} is an apocalyptic number.

83202290519040 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 83202290519040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189878105506536).

83202290519040 is an abundant number, since it is smaller than the sum of its proper divisors (296553920494032).

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

83202290519040 is a wasteful number, since it uses less digits than its factorization.

83202290519040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41425 (or 41385 counting only the distinct ones).

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

Adding to 83202290519040 its reverse (4091509220238), we get a palindrome (87293799739278).

The spelling of 83202290519040 in words is "eighty-three trillion, two hundred two billion, two hundred ninety million, five hundred nineteen thousand, forty".