83998451520 has 336 divisors, whose sum is σ = 306939866688. Its totient is φ = 21852426240.

The previous prime is 83998451519. The next prime is 83998451521. The reversal of 83998451520 is 2515489938.

83998451520 is a `hidden beast` number, since 8 + 39 + 9 + 84 + 5 + 1 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (83998451519) and next prime (83998451521).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83998451521) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3174987 + ... + 3201333.

It is an arithmetic number, because the mean of its divisors is an integer number (913511508).

Almost surely, 2^83998451520 is an apocalyptic number.

83998451520 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 83998451520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153469933344).

83998451520 is an abundant number, since it is smaller than the sum of its proper divisors (222941415168).

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

83998451520 is a wasteful number, since it uses less digits than its factorization.

83998451520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26420 (or 26398 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 83998451520 in words is "eighty-three billion, nine hundred ninety-eight million, four hundred fifty-one thousand, five hundred twenty".