83405376000 has 960 divisors, whose sum is σ = 323445298176. Its totient is φ = 21399552000.

The previous prime is 83405375993. The next prime is 83405376007. The reversal of 83405376000 is 67350438.

It is a happy number.

83405376000 is a `hidden beast` number, since 8 + 3 + 40 + 5 + 3 + 7 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (83405375993) and next prime (83405376007).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (83405376007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 482111914 + ... + 482112086.

Almost surely, 2^83405376000 is an apocalyptic number.

83405376000 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 83405376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161722649088).

83405376000 is an abundant number, since it is smaller than the sum of its proper divisors (240039922176).

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

83405376000 is an equidigital number, since it uses as much as digits as its factorization.

83405376000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 83405376000 in words is "eighty-three billion, four hundred five million, three hundred seventy-six thousand".