49889202026004 has 576 divisors, whose sum is σ = 146368199577600. Its totient is φ = 14194664985600.

The previous prime is 49889202025991. The next prime is 49889202026009. The reversal of 49889202026004 is 40062020298894.

49889202026004 is a `hidden beast` number, since 4 + 9 + 8 + 8 + 9 + 2 + 0 + 20 + 2 + 600 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49889202026009) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8019479614 + ... + 8019485834.

It is an arithmetic number, because the mean of its divisors is an integer number (254111457600).

Almost surely, 2^{49889202026004} is an apocalyptic number.

49889202026004 is a gapful number since it is divisible by the number (44) 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 49889202026004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73184099788800).

49889202026004 is an abundant number, since it is smaller than the sum of its proper divisors (96478997551596).

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

49889202026004 is a wasteful number, since it uses less digits than its factorization.

49889202026004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6524 (or 6519 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 49889202026004 in words is "forty-nine trillion, eight hundred eighty-nine billion, two hundred two million, twenty-six thousand, four".