50378612256000 has 3888 divisors, whose sum is σ = 225366895615680. Its totient is φ = 11183555174400.

The previous prime is 50378612255981. The next prime is 50378612256019. The reversal of 50378612256000 is 65221687305.

50378612256000 is a `hidden beast` number, since 5 + 0 + 3 + 7 + 8 + 6 + 12 + 25 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (50378612255981) and next prime (50378612256019).

It is a tau number, because it is divible by the number of its divisors (3888).

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 431 ways as a sum of consecutive naturals, for example, 606971231959 + ... + 606971232041.

Almost surely, 2^{50378612256000} is an apocalyptic number.

50378612256000 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 50378612256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112683447807840).

50378612256000 is an abundant number, since it is smaller than the sum of its proper divisors (174988283359680).

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

50378612256000 is an frugal number, since it uses more digits than its factorization.

50378612256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 50378612256000 in words is "fifty trillion, three hundred seventy-eight billion, six hundred twelve million, two hundred fifty-six thousand".