6087397548960 has 3456 divisors, whose sum is σ = 28321717132800. Its totient is φ = 1232542531584.

The previous prime is 6087397548847. The next prime is 6087397549007. The reversal of 6087397548960 is 698457937806.

6087397548960 is a `hidden beast` number, since 6 + 0 + 8 + 73 + 9 + 7 + 548 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 83389007484 + ... + 83389007556.

It is an arithmetic number, because the mean of its divisors is an integer number (8194941300).

Almost surely, 2^{6087397548960} is an apocalyptic number.

6087397548960 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 6087397548960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14160858566400).

6087397548960 is an abundant number, since it is smaller than the sum of its proper divisors (22234319583840).

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

6087397548960 is a wasteful number, since it uses less digits than its factorization.

6087397548960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 6087397548960 in words is "six trillion, eighty-seven billion, three hundred ninety-seven million, five hundred forty-eight thousand, nine hundred sixty".