83982410400 has 288 divisors, whose sum is σ = 312729234048. Its totient is φ = 19176652800.

The previous prime is 83982410389. The next prime is 83982410411. The reversal of 83982410400 is 401428938.

It is an interprime number because it is at equal distance from previous prime (83982410389) and next prime (83982410411).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22862964 + ... + 22866636.

It is an arithmetic number, because the mean of its divisors is an integer number (1085865396).

Almost surely, 2^83982410400 is an apocalyptic number.

83982410400 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 83982410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156364617024).

83982410400 is an abundant number, since it is smaller than the sum of its proper divisors (228746823648).

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

83982410400 is a wasteful number, since it uses less digits than its factorization.

83982410400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5064 (or 5051 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 83982410400 in words is "eighty-three billion, nine hundred eighty-two million, four hundred ten thousand, four hundred".