50135627520000 has 3240 divisors, whose sum is σ = 215507312600580. Its totient is φ = 11129978880000.

The previous prime is 50135627519977. The next prime is 50135627520019. The reversal of 50135627520000 is 2572653105.

50135627520000 is a `hidden beast` number, since 5 + 0 + 1 + 3 + 5 + 627 + 5 + 20 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×50135627520000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 269 ways as a sum of consecutive naturals, for example, 1355016959982 + ... + 1355016960018.

Almost surely, 2^{50135627520000} is an apocalyptic number.

50135627520000 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 50135627520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107753656300290).

50135627520000 is an abundant number, since it is smaller than the sum of its proper divisors (165371685080580).

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

50135627520000 is a wasteful number, since it uses less digits than its factorization.

50135627520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The spelling of 50135627520000 in words is "fifty trillion, one hundred thirty-five billion, six hundred twenty-seven million, five hundred twenty thousand".