50157421461504 has 1152 divisors, whose sum is σ = 181096605204480. Its totient is φ = 13408804012032.

The previous prime is 50157421461461. The next prime is 50157421461541. The reversal of 50157421461504 is 40516412475105.

50157421461504 is a `hidden beast` number, since 5 + 0 + 1 + 5 + 7 + 4 + 21 + 4 + 615 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a self number, because there is not a number n which added to its sum of digits gives 50157421461504.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 26779188312 + ... + 26779190184.

It is an arithmetic number, because the mean of its divisors is an integer number (157201914240).

Almost surely, 2^{50157421461504} is an apocalyptic number.

50157421461504 is a gapful number since it is divisible by the number (54) 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 50157421461504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90548302602240).

50157421461504 is an abundant number, since it is smaller than the sum of its proper divisors (130939183742976).

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

50157421461504 is an equidigital number, since it uses as much as digits as its factorization.

50157421461504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1993 (or 1955 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 50157421461504 in words is "fifty trillion, one hundred fifty-seven billion, four hundred twenty-one million, four hundred sixty-one thousand, five hundred four".