50106829392000 has 576 divisors, whose sum is σ = 186858054503640. Its totient is φ = 13361793177600.

The previous prime is 50106829391999. The next prime is 50106829392071. The reversal of 50106829392000 is 29392860105.

50106829392000 is a `hidden beast` number, since 50 + 106 + 8 + 293 + 9 + 200 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5481329818176 + 44625499573824 = 2341224^2 + 6680232^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 104737342 + ... + 105214658.

Almost surely, 2^{50106829392000} is an apocalyptic number.

50106829392000 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 50106829392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93429027251820).

50106829392000 is an abundant number, since it is smaller than the sum of its proper divisors (136751225111640).

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

50106829392000 is an frugal number, since it uses more digits than its factorization.

50106829392000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477370 (or 477327 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 50106829392000 in words is "fifty trillion, one hundred six billion, eight hundred twenty-nine million, three hundred ninety-two thousand".