83081376000 has 1440 divisors, whose sum is σ = 373479025920. Its totient is φ = 17915904000.

The previous prime is 83081375983. The next prime is 83081376011. The reversal of 83081376000 is 67318038.

83081376000 is a `hidden beast` number, since 8 + 30 + 8 + 13 + 7 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 344735880 + ... + 344736120.

Almost surely, 2^83081376000 is an apocalyptic number.

83081376000 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 83081376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186739512960).

83081376000 is an abundant number, since it is smaller than the sum of its proper divisors (290397649920).

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

83081376000 is a wasteful number, since it uses less digits than its factorization.

83081376000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 83081376000 in words is "eighty-three billion, eighty-one million, three hundred seventy-six thousand".