6048020487600 has 1680 divisors, whose sum is σ = 27063725852352. Its totient is φ = 1264146186240.

The previous prime is 6048020487599. The next prime is 6048020487643. The reversal of 6048020487600 is 67840208406.

6048020487600 is a `hidden beast` number, since 60 + 480 + 2 + 0 + 48 + 76 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 2998521792 + ... + 2998523808.

Almost surely, 2^{6048020487600} is an apocalyptic number.

6048020487600 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 6048020487600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13531862926176).

6048020487600 is an abundant number, since it is smaller than the sum of its proper divisors (21015705364752).

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

6048020487600 is a wasteful number, since it uses less digits than its factorization.

6048020487600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2186 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 6048020487600 in words is "six trillion, forty-eight billion, twenty million, four hundred eighty-seven thousand, six hundred".