83006481040 has 320 divisors, whose sum is σ = 238684723200. Its totient is φ = 26210967552.

The previous prime is 83006481029. The next prime is 83006481091. The reversal of 83006481040 is 4018460038.

It is a junction number, because it is equal to n+sod(n) for n = 83006480987 and 83006481005.

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, 191700664 + ... + 191701096.

It is an arithmetic number, because the mean of its divisors is an integer number (745889760).

Almost surely, 2^83006481040 is an apocalyptic number.

83006481040 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 83006481040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119342361600).

83006481040 is an abundant number, since it is smaller than the sum of its proper divisors (155678242160).

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

83006481040 is a wasteful number, since it uses less digits than its factorization.

83006481040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The spelling of 83006481040 in words is "eighty-three billion, six million, four hundred eighty-one thousand, forty".