6053900649120 has 384 divisors, whose sum is σ = 21377986560000. Its totient is φ = 1599988515840.

The previous prime is 6053900649119. The next prime is 6053900649163. The reversal of 6053900649120 is 219460093506.

6053900649120 is a `hidden beast` number, since 6 + 0 + 53 + 90 + 0 + 6 + 491 + 20 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 359679105 + ... + 359695935.

It is an arithmetic number, because the mean of its divisors is an integer number (55671840000).

Almost surely, 2^{6053900649120} is an apocalyptic number.

6053900649120 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 6053900649120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10688993280000).

6053900649120 is an abundant number, since it is smaller than the sum of its proper divisors (15324085910880).

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

6053900649120 is a wasteful number, since it uses less digits than its factorization.

6053900649120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17593 (or 17579 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 6053900649120 in words is "six trillion, fifty-three billion, nine hundred million, six hundred forty-nine thousand, one hundred twenty".