50281670007972 has 576 divisors, whose sum is σ = 145524185404416. Its totient is φ = 14522817576960.

The previous prime is 50281670007967. The next prime is 50281670008001. The reversal of 50281670007972 is 27970007618205.

It is a happy number.

50281670007972 is a `hidden beast` number, since 502 + 8 + 1 + 67 + 0 + 0 + 0 + 7 + 9 + 72 = 666.

50281670007972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 77715100153 + ... + 77715100799.

It is an arithmetic number, because the mean of its divisors is an integer number (252646155216).

Almost surely, 2^{50281670007972} is an apocalyptic number.

50281670007972 is a gapful number since it is divisible by the number (52) 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 50281670007972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72762092702208).

50281670007972 is an abundant number, since it is smaller than the sum of its proper divisors (95242515396444).

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

50281670007972 is a wasteful number, since it uses less digits than its factorization.

50281670007972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 50281670007972 in words is "fifty trillion, two hundred eighty-one billion, six hundred seventy million, seven thousand, nine hundred seventy-two".