83653048080 has 400 divisors, whose sum is σ = 333277490304. Its totient is φ = 19049748480.

The previous prime is 83653048069. The next prime is 83653048091. The reversal of 83653048080 is 8084035638.

83653048080 is a `hidden beast` number, since 8 + 3 + 65 + 30 + 480 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (83653048069) and next prime (83653048091).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12742879 + ... + 12749441.

Almost surely, 2^83653048080 is an apocalyptic number.

83653048080 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 83653048080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166638745152).

83653048080 is an abundant number, since it is smaller than the sum of its proper divisors (249624442224).

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

83653048080 is a wasteful number, since it uses less digits than its factorization.

83653048080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6876 (or 6861 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 83653048080 in words is "eighty-three billion, six hundred fifty-three million, forty-eight thousand, eighty".