49603666083840 has 3072 divisors, whose sum is σ = 210417303398400. Its totient is φ = 10982994739200.

The previous prime is 49603666083791. The next prime is 49603666083899. The reversal of 49603666083840 is 4838066630694.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1055397150697 + ... + 1055397150743.

It is an arithmetic number, because the mean of its divisors is an integer number (68495215950).

Almost surely, 2^{49603666083840} is an apocalyptic number.

49603666083840 is a gapful number since it is divisible by the number (40) 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 49603666083840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105208651699200).

49603666083840 is an abundant number, since it is smaller than the sum of its proper divisors (160813637314560).

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

49603666083840 is a wasteful number, since it uses less digits than its factorization.

49603666083840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 107495424, while the sum is 63.

The spelling of 49603666083840 in words is "forty-nine trillion, six hundred three billion, six hundred sixty-six million, eighty-three thousand, eight hundred forty".