83101985280 has 240 divisors, whose sum is σ = 291753993960. Its totient is φ = 21856518144.

The previous prime is 83101985261. The next prime is 83101985299. The reversal of 83101985280 is 8258910138.

It is a happy number.

83101985280 is a `hidden beast` number, since 8 + 31 + 0 + 1 + 98 + 528 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (83101985261) and next prime (83101985299).

It can be written as a sum of positive squares in 4 ways, for example, as 64792647936 + 18309337344 = 254544^2 + 135312^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1657216 + ... + 1706624.

Almost surely, 2^83101985280 is an apocalyptic number.

83101985280 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 83101985280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145876996980).

83101985280 is an abundant number, since it is smaller than the sum of its proper divisors (208652008680).

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

83101985280 is a wasteful number, since it uses less digits than its factorization.

83101985280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49511 (or 49492 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 83101985280 in words is "eighty-three billion, one hundred one million, nine hundred eighty-five thousand, two hundred eighty".