6050857127040 has 1280 divisors, whose sum is σ = 24476970355200. Its totient is φ = 1411016785920.

The previous prime is 6050857126999. The next prime is 6050857127041. The reversal of 6050857127040 is 407217580506.

6050857127040 is a `hidden beast` number, since 6 + 0 + 5 + 0 + 8 + 571 + 2 + 70 + 4 + 0 = 666.

It is a super-2 number, since 2×6050857127040² (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (6050857127041) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6069063822 + ... + 6069064818.

It is an arithmetic number, because the mean of its divisors is an integer number (19122633090).

Almost surely, 2^{6050857127040} is an apocalyptic number.

6050857127040 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 6050857127040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12238485177600).

6050857127040 is an abundant number, since it is smaller than the sum of its proper divisors (18426113228160).

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

6050857127040 is a wasteful number, since it uses less digits than its factorization.

6050857127040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1435 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 6050857127040 in words is "six trillion, fifty billion, eight hundred fifty-seven million, one hundred twenty-seven thousand, forty".