50120132938176 has 224 divisors, whose sum is σ = 156883669447680. Its totient is φ = 13817076940800.

The previous prime is 50120132938159. The next prime is 50120132938199. The reversal of 50120132938176 is 67183923102105.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-4 number, since 4×50120132938176⁴ (a number of 56 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58467216 + ... + 59318256.

It is an arithmetic number, because the mean of its divisors is an integer number (700373524320).

Almost surely, 2^{50120132938176} is an apocalyptic number.

50120132938176 is a gapful number since it is divisible by the number (56) 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 50120132938176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78441834723840).

50120132938176 is an abundant number, since it is smaller than the sum of its proper divisors (106763536509504).

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

50120132938176 is a wasteful number, since it uses less digits than its factorization.

50120132938176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852603 (or 852593 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 50120132938176 in words is "fifty trillion, one hundred twenty billion, one hundred thirty-two million, nine hundred thirty-eight thousand, one hundred seventy-six".