83242502267904 has 1188 divisors, whose sum is σ = 298067499462096. Its totient is φ = 23136132612096.

The previous prime is 83242502267857. The next prime is 83242502267909. The reversal of 83242502267904 is 40976220524238.

83242502267904 is a `hidden beast` number, since 8 + 3 + 2 + 42 + 502 + 2 + 6 + 7 + 90 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (83242502267909) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 16691896899 + ... + 16691901885.

Almost surely, 2^{83242502267904} is an apocalyptic number.

83242502267904 is a gapful number since it is divisible by the number (84) 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 83242502267904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149033749731048).

83242502267904 is an abundant number, since it is smaller than the sum of its proper divisors (214824997194192).

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

83242502267904 is an equidigital number, since it uses as much as digits as its factorization.

83242502267904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5110 (or 5036 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 83242502267904 in words is "eighty-three trillion, two hundred forty-two billion, five hundred two million, two hundred sixty-seven thousand, nine hundred four".