50313755219328 has 384 divisors, whose sum is σ = 152916141924000. Its totient is φ = 15861087830016.

The previous prime is 50313755219309. The next prime is 50313755219467. The reversal of 50313755219328 is 82391255731305.

50313755219328 is a `hidden beast` number, since 5 + 0 + 3 + 1 + 3 + 7 + 5 + 521 + 93 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×50313755219328² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 223706226 + ... + 223931022.

Almost surely, 2^{50313755219328} 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 50313755219328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76458070962000).

50313755219328 is an abundant number, since it is smaller than the sum of its proper divisors (102602386704672).

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

50313755219328 is a wasteful number, since it uses less digits than its factorization.

50313755219328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225002 (or 224987 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 50313755219328 in words is "fifty trillion, three hundred thirteen billion, seven hundred fifty-five million, two hundred nineteen thousand, three hundred twenty-eight".