50906870313600 has 768 divisors, whose sum is σ = 198071565465600. Its totient is φ = 11251066060800.

The previous prime is 50906870313571. The next prime is 50906870313643. The reversal of 50906870313600 is 631307860905.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 50906870313600.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 241747557 + ... + 241958043.

It is an arithmetic number, because the mean of its divisors is an integer number (257905684200).

Almost surely, 2^{50906870313600} is an apocalyptic number.

50906870313600 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 50906870313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99035782732800).

50906870313600 is an abundant number, since it is smaller than the sum of its proper divisors (147164695152000).

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

50906870313600 is a wasteful number, since it uses less digits than its factorization.

50906870313600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210641 (or 210624 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The spelling of 50906870313600 in words is "fifty trillion, nine hundred six billion, eight hundred seventy million, three hundred thirteen thousand, six hundred".