83726431340160 has 512 divisors, whose sum is σ = 323100513792000. Its totient is φ = 18003052265472.

The previous prime is 83726431340093. The next prime is 83726431340161. The reversal of 83726431340160 is 6104313462738.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (83726431340161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 479492229 + ... + 479666811.

It is an arithmetic number, because the mean of its divisors is an integer number (631055691000).

Almost surely, 2^{83726431340160} is an apocalyptic number.

83726431340160 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 83726431340160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161550256896000).

83726431340160 is an abundant number, since it is smaller than the sum of its proper divisors (239374082451840).

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

83726431340160 is a wasteful number, since it uses less digits than its factorization.

83726431340160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176728 (or 176716 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The spelling of 83726431340160 in words is "eighty-three trillion, seven hundred twenty-six billion, four hundred thirty-one million, three hundred forty thousand, one hundred sixty".