50149720823040 has 1440 divisors, whose sum is σ = 193160218116096. Its totient is φ = 12392729395200.

The previous prime is 50149720823023. The next prime is 50149720823057. The reversal of 50149720823040 is 4032802794105.

50149720823040 is a `hidden beast` number, since 50 + 1 + 4 + 97 + 208 + 2 + 304 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (50149720823023) and next prime (50149720823057).

It is a tau number, because it is divible by the number of its divisors (1440).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 13022517115 + ... + 13022520965.

Almost surely, 2^{50149720823040} 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 50149720823040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96580109058048).

50149720823040 is an abundant number, since it is smaller than the sum of its proper divisors (143010497293056).

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

50149720823040 is a wasteful number, since it uses less digits than its factorization.

50149720823040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4077 (or 4054 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 50149720823040 in words is "fifty trillion, one hundred forty-nine billion, seven hundred twenty million, eight hundred twenty-three thousand, forty".