83731409249280 has 1408 divisors, whose sum is σ = 298076947660800. Its totient is φ = 19935805833216.

The previous prime is 83731409249141. The next prime is 83731409249281. The reversal of 83731409249280 is 8294290413738.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (83731409249281) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 190732139301 + ... + 190732139739.

It is an arithmetic number, because the mean of its divisors is an integer number (211702377600).

Almost surely, 2^{83731409249280} is an apocalyptic number.

83731409249280 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 83731409249280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149038473830400).

83731409249280 is an abundant number, since it is smaller than the sum of its proper divisors (214345538411520).

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

83731409249280 is a wasteful number, since it uses less digits than its factorization.

83731409249280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 60.

The spelling of 83731409249280 in words is "eighty-three trillion, seven hundred thirty-one billion, four hundred nine million, two hundred forty-nine thousand, two hundred eighty".