50127026400 has 864 divisors, whose sum is σ = 202689527040. Its totient is φ = 11547648000.

The previous prime is 50127026363. The next prime is 50127026429. The reversal of 50127026400 is 462072105.

50127026400 is a `hidden beast` number, since 5 + 0 + 12 + 7 + 0 + 2 + 640 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 139629421 + ... + 139629779.

It is an arithmetic number, because the mean of its divisors is an integer number (234594360).

Almost surely, 2^50127026400 is an apocalyptic number.

50127026400 is a gapful number since it is divisible by the number (50) 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 50127026400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101344763520).

50127026400 is an abundant number, since it is smaller than the sum of its proper divisors (152562500640).

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

50127026400 is a wasteful number, since it uses less digits than its factorization.

50127026400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 50127026400 its reverse (462072105), we get a palindrome (50589098505).

The spelling of 50127026400 in words is "fifty billion, one hundred twenty-seven million, twenty-six thousand, four hundred".