720559113120 has 1536 divisors, whose sum is σ = 3256514150400. Its totient is φ = 146283356160.

The previous prime is 720559113103. The next prime is 720559113151. The reversal of 720559113120 is 21311955027.

720559113120 is a `hidden beast` number, since 72 + 0 + 559 + 1 + 1 + 31 + 2 + 0 = 666.

It is a super-2 number, since 2×720559113120² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1266360196 + ... + 1266360764.

It is an arithmetic number, because the mean of its divisors is an integer number (2120126400).

Almost surely, 2^720559113120 is an apocalyptic number.

720559113120 is a gapful number since it is divisible by the number (70) 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 720559113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1628257075200).

720559113120 is an abundant number, since it is smaller than the sum of its proper divisors (2535955037280).

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

720559113120 is a wasteful number, since it uses less digits than its factorization.

720559113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The spelling of 720559113120 in words is "seven hundred twenty billion, five hundred fifty-nine million, one hundred thirteen thousand, one hundred twenty".