616197093120 has 540 divisors, whose sum is σ = 2564865132984. Its totient is φ = 140843888640.

The previous prime is 616197093097. The next prime is 616197093131. The reversal of 616197093120 is 21390791616.

616197093120 is a `hidden beast` number, since 6 + 1 + 619 + 7 + 0 + 9 + 3 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5019675 + ... + 5140965.

Almost surely, 2^616197093120 is an apocalyptic number.

616197093120 is a gapful number since it is divisible by the number (60) 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 616197093120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282432566492).

616197093120 is an abundant number, since it is smaller than the sum of its proper divisors (1948668039864).

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

616197093120 is a wasteful number, since it uses less digits than its factorization.

616197093120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121338 (or 121308 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 616197093120 in words is "six hundred sixteen billion, one hundred ninety-seven million, ninety-three thousand, one hundred twenty".