83040950400 has 192 divisors, whose sum is σ = 275159263680. Its totient is φ = 22011228160.

The previous prime is 83040950387. The next prime is 83040950411. The reversal of 83040950400 is 405904038.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1577302 + ... + 1629098.

It is an arithmetic number, because the mean of its divisors is an integer number (1433121165).

Almost surely, 2^83040950400 is an apocalyptic number.

83040950400 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 83040950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137579631840).

83040950400 is an abundant number, since it is smaller than the sum of its proper divisors (192118313280).

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

83040950400 is a wasteful number, since it uses less digits than its factorization.

83040950400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51991 (or 51974 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 83040950400 in words is "eighty-three billion, forty million, nine hundred fifty thousand, four hundred".