83869273290240 has 800 divisors, whose sum is σ = 311654915621280. Its totient is φ = 21531161788416.

The previous prime is 83869273290221. The next prime is 83869273290331. The reversal of 83869273290240 is 4209237296838.

83869273290240 is a `hidden beast` number, since 8 + 3 + 8 + 69 + 2 + 7 + 329 + 0 + 240 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2086643584 + ... + 2086683776.

Almost surely, 2^{83869273290240} is an apocalyptic number.

83869273290240 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 83869273290240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155827457810640).

83869273290240 is an abundant number, since it is smaller than the sum of its proper divisors (227785642331040).

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

83869273290240 is a wasteful number, since it uses less digits than its factorization.

83869273290240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40604 (or 40579 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 83869273290240 in words is "eighty-three trillion, eight hundred sixty-nine billion, two hundred seventy-three million, two hundred ninety thousand, two hundred forty".