50129026561152 has 3072 divisors, whose sum is σ = 202705993728000. Its totient is φ = 11898399744000.

The previous prime is 50129026561129. The next prime is 50129026561183. The reversal of 50129026561152 is 25116562092105.

50129026561152 is a `hidden beast` number, since 5 + 0 + 1 + 2 + 9 + 0 + 26 + 5 + 611 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 50129026561098 and 50129026561107.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 331980308277 + ... + 331980308427.

It is an arithmetic number, because the mean of its divisors is an integer number (65985024000).

Almost surely, 2^{50129026561152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50129026561152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101352996864000).

50129026561152 is an abundant number, since it is smaller than the sum of its proper divisors (152576967166848).

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

50129026561152 is a wasteful number, since it uses less digits than its factorization.

50129026561152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The spelling of 50129026561152 in words is "fifty trillion, one hundred twenty-nine billion, twenty-six million, five hundred sixty-one thousand, one hundred fifty-two".