83981412480 has 512 divisors, whose sum is σ = 320757719040. Its totient is φ = 18273632256.

The previous prime is 83981412467. The next prime is 83981412491. The reversal of 83981412480 is 8421418938.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81298044 + ... + 81299076.

It is an arithmetic number, because the mean of its divisors is an integer number (626479920).

Almost surely, 2^83981412480 is an apocalyptic number.

83981412480 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 83981412480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160378859520).

83981412480 is an abundant number, since it is smaller than the sum of its proper divisors (236776306560).

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

83981412480 is a wasteful number, since it uses less digits than its factorization.

83981412480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1348 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The spelling of 83981412480 in words is "eighty-three billion, nine hundred eighty-one million, four hundred twelve thousand, four hundred eighty".