83098900080 has 1440 divisors, whose sum is σ = 370578067200. Its totient is φ = 17008911360.

The previous prime is 83098900067. The next prime is 83098900109. The reversal of 83098900080 is 8000989038.

It is a super-3 number, since 3×83098900080³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 83098899999 and 83098900035.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1932532539 + ... + 1932532581.

It is an arithmetic number, because the mean of its divisors is an integer number (257345880).

Almost surely, 2^83098900080 is an apocalyptic number.

83098900080 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 83098900080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185289033600).

83098900080 is an abundant number, since it is smaller than the sum of its proper divisors (287479167120).

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

83098900080 is a wasteful number, since it uses less digits than its factorization.

83098900080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 83098900080 in words is "eighty-three billion, ninety-eight million, nine hundred thousand, eighty".