83480997600 has 2268 divisors, whose sum is σ = 415637881848. Its totient is φ = 16012339200.

The previous prime is 83480997583. The next prime is 83480997601. The reversal of 83480997600 is 679908438.

83480997600 is a `hidden beast` number, since 8 + 3 + 480 + 99 + 76 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2268).

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 (83480997601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 377 ways as a sum of consecutive naturals, for example, 6421615194 + ... + 6421615206.

Almost surely, 2^83480997600 is an apocalyptic number.

83480997600 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 83480997600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207818940924).

83480997600 is an abundant number, since it is smaller than the sum of its proper divisors (332156884248).

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

83480997600 is a wasteful number, since it uses less digits than its factorization.

83480997600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 83480997600 in words is "eighty-three billion, four hundred eighty million, nine hundred ninety-seven thousand, six hundred".