83497245189120 has 1760 divisors, whose sum is σ = 346425738278400. Its totient is φ = 18836892942336.

The previous prime is 83497245189109. The next prime is 83497245189143. The reversal of 83497245189120 is 2198154279438.

83497245189120 is a `hidden beast` number, since 8 + 3 + 4 + 9 + 7 + 2 + 4 + 518 + 91 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 117767623326 + ... + 117767624034.

It is an arithmetic number, because the mean of its divisors is an integer number (196832805840).

Almost surely, 2^{83497245189120} is an apocalyptic number.

83497245189120 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 83497245189120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173212869139200).

83497245189120 is an abundant number, since it is smaller than the sum of its proper divisors (262928493089280).

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

83497245189120 is a wasteful number, since it uses less digits than its factorization.

83497245189120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 83497245189120 in words is "eighty-three trillion, four hundred ninety-seven billion, two hundred forty-five million, one hundred eighty-nine thousand, one hundred twenty".