611488725120 has 1600 divisors, whose sum is σ = 2749491518400. Its totient is φ = 126830665728.

The previous prime is 611488725083. The next prime is 611488725121. The reversal of 611488725120 is 21527884116.

611488725120 is a `hidden beast` number, since 6 + 11 + 48 + 87 + 2 + 512 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (611488725121) by changing a digit.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 10364215651 + ... + 10364215709.

It is an arithmetic number, because the mean of its divisors is an integer number (1718432199).

Almost surely, 2^611488725120 is an apocalyptic number.

611488725120 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 611488725120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374745759200).

611488725120 is an abundant number, since it is smaller than the sum of its proper divisors (2138002793280).

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

611488725120 is an frugal number, since it uses more digits than its factorization.

611488725120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 611488725120 in words is "six hundred eleven billion, four hundred eighty-eight million, seven hundred twenty-five thousand, one hundred twenty".