83800701820080 has 1600 divisors, whose sum is σ = 360065694320640. Its totient is φ = 17627314618368.

The previous prime is 83800701820039. The next prime is 83800701820093. The reversal of 83800701820080 is 8002810700838.

It is a happy number.

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 319 ways as a sum of consecutive naturals, for example, 12546890181 + ... + 12546896859.

Almost surely, 2^{83800701820080} is an apocalyptic number.

83800701820080 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 83800701820080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180032847160320).

83800701820080 is an abundant number, since it is smaller than the sum of its proper divisors (276264992500560).

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

83800701820080 is a wasteful number, since it uses less digits than its factorization.

83800701820080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7088 (or 7073 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 83800701820080 in words is "eighty-three trillion, eight hundred billion, seven hundred one million, eight hundred twenty thousand, eighty".