83551610880 has 432 divisors, whose sum is σ = 307708734060. Its totient is φ = 20963131392.

The previous prime is 83551610873. The next prime is 83551610881. The reversal of 83551610880 is 8801615538.

83551610880 is a `hidden beast` number, since 8 + 3 + 551 + 6 + 10 + 8 + 80 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 80692356096 + 2859254784 = 284064^2 + 53472^2 .

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

It is not an unprimeable number, because it can be changed into a prime (83551610881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26632672 + ... + 26635808.

Almost surely, 2^83551610880 is an apocalyptic number.

83551610880 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 83551610880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153854367030).

83551610880 is an abundant number, since it is smaller than the sum of its proper divisors (224157123180).

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

83551610880 is a wasteful number, since it uses less digits than its factorization.

83551610880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3204 (or 3164 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

It can be divided in two parts, 83551 and 610880, that added together give a triangular number (694431 = T₁₁₇₈).

The spelling of 83551610880 in words is "eighty-three billion, five hundred fifty-one million, six hundred ten thousand, eight hundred eighty".