50914100090880 has 576 divisors, whose sum is σ = 192709742621760. Its totient is φ = 12356163993600.

The previous prime is 50914100090869. The next prime is 50914100090927. The reversal of 50914100090880 is 8809000141905.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84764410 + ... + 85362950.

It is an arithmetic number, because the mean of its divisors is an integer number (334565525385).

Almost surely, 2^{50914100090880} 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 50914100090880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96354871310880).

50914100090880 is an abundant number, since it is smaller than the sum of its proper divisors (141795642530880).

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

50914100090880 is a wasteful number, since it uses less digits than its factorization.

50914100090880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598658 (or 598635 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 50914100090880 in words is "fifty trillion, nine hundred fourteen billion, one hundred million, ninety thousand, eight hundred eighty".