6048752855040 has 1536 divisors, whose sum is σ = 25994981376000. Its totient is φ = 1304808652800.

The previous prime is 6048752854997. The next prime is 6048752855059. The reversal of 6048752855040 is 405582578406.

6048752855040 is a `hidden beast` number, since 6 + 0 + 4 + 8 + 7 + 52 + 85 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×6048752855040² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2459841331 + ... + 2459843789.

It is an arithmetic number, because the mean of its divisors is an integer number (16923816000).

Almost surely, 2^{6048752855040} is an apocalyptic number.

6048752855040 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 6048752855040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12997490688000).

6048752855040 is an abundant number, since it is smaller than the sum of its proper divisors (19946228520960).

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

6048752855040 is a wasteful number, since it uses less digits than its factorization.

6048752855040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2574 (or 2548 counting only the distinct ones).

The product of its (nonzero) digits is 10752000, while the sum is 54.

The spelling of 6048752855040 in words is "six trillion, forty-eight billion, seven hundred fifty-two million, eight hundred fifty-five thousand, forty".