6138479255040 has 1280 divisors, whose sum is σ = 24746153287680. Its totient is φ = 1428848640000.

The previous prime is 6138479254997. The next prime is 6138479255113. The reversal of 6138479255040 is 405529748316.

It is a happy number.

6138479255040 is a `hidden beast` number, since 6 + 1 + 3 + 8 + 47 + 9 + 2 + 550 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

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 127 ways as a sum of consecutive naturals, for example, 3229078090 + ... + 3229079990.

It is an arithmetic number, because the mean of its divisors is an integer number (19332932256).

It is a 1-persistent number, because it is pandigital, but 2⋅6138479255040 = 12276958510080 is not.

Almost surely, 2^{6138479255040} is an apocalyptic number.

6138479255040 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 6138479255040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12373076643840).

6138479255040 is an abundant number, since it is smaller than the sum of its proper divisors (18607674032640).

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

6138479255040 is a wasteful number, since it uses less digits than its factorization.

6138479255040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2112 (or 2090 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 6138479255040 in words is "six trillion, one hundred thirty-eight billion, four hundred seventy-nine million, two hundred fifty-five thousand, forty".