50135023355040 has 288 divisors, whose sum is σ = 187369032090240. Its totient is φ = 12131760273408.

The previous prime is 50135023355033. The next prime is 50135023355047. The reversal of 50135023355040 is 4055332053105.

50135023355040 is a `hidden beast` number, since 5 + 0 + 1 + 35 + 0 + 2 + 33 + 550 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (50135023355033) and next prime (50135023355047).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 50135023354986 and 50135023355004.

It is not an unprimeable number, because it can be changed into a prime (50135023355047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21591732 + ... + 23800691.

It is an arithmetic number, because the mean of its divisors is an integer number (650586916980).

Almost surely, 2^{50135023355040} is an apocalyptic number.

It is an amenable number.

50135023355040 is an abundant number, since it is smaller than the sum of its proper divisors (137234008735200).

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

50135023355040 is a wasteful number, since it uses less digits than its factorization.

50135023355040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45392516 (or 45392505 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 36.

The spelling of 50135023355040 in words is "fifty trillion, one hundred thirty-five billion, twenty-three million, three hundred fifty-five thousand, forty".