612411011520 has 1344 divisors, whose sum is σ = 2583657243648. Its totient is φ = 119306649600.

The previous prime is 612411011507. The next prime is 612411011561. The reversal of 612411011520 is 25110114216.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2628373324 + ... + 2628373556.

Almost surely, 2^612411011520 is an apocalyptic number.

612411011520 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 612411011520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291828621824).

612411011520 is an abundant number, since it is smaller than the sum of its proper divisors (1971246232128).

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

612411011520 is a wasteful number, since it uses less digits than its factorization.

612411011520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

Adding to 612411011520 its reverse (25110114216), we get a palindrome (637521125736).

The spelling of 612411011520 in words is "six hundred twelve billion, four hundred eleven million, eleven thousand, five hundred twenty".