83093541120 has 576 divisors, whose sum is σ = 314068285440. Its totient is φ = 20731133952.

The previous prime is 83093541107. The next prime is 83093541121. The reversal of 83093541120 is 2114539038.

83093541120 is a `hidden beast` number, since 8 + 3 + 0 + 93 + 541 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×83093541120² (a number of 23 digits) contains 22 as substring.

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 (83093541121) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 136891857 + ... + 136892463.

It is an arithmetic number, because the mean of its divisors is an integer number (545257440).

Almost surely, 2^83093541120 is an apocalyptic number.

83093541120 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 83093541120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157034142720).

83093541120 is an abundant number, since it is smaller than the sum of its proper divisors (230974744320).

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

83093541120 is a wasteful number, since it uses less digits than its factorization.

83093541120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 83093541120 in words is "eighty-three billion, ninety-three million, five hundred forty-one thousand, one hundred twenty".