83416397988 has 384 divisors, whose sum is σ = 256313917440. Its totient is φ = 20487168000.

The previous prime is 83416397951. The next prime is 83416397989. The reversal of 83416397988 is 88979361438.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (83416397989) 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, 432209220 + ... + 432209412.

It is an arithmetic number, because the mean of its divisors is an integer number (667484160).

Almost surely, 2^83416397988 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83416397988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128156958720).

83416397988 is an abundant number, since it is smaller than the sum of its proper divisors (172897519452).

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

83416397988 is a wasteful number, since it uses less digits than its factorization.

83416397988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 517 counting only the distinct ones).

The product of its digits is 62705664, while the sum is 66.

The spelling of 83416397988 in words is "eighty-three billion, four hundred sixteen million, three hundred ninety-seven thousand, nine hundred eighty-eight".