49038987017600 has 48 divisors (see below), whose sum is σ = 121141622624820. Its totient is φ = 19615594805760.

The previous prime is 49038987017569. The next prime is 49038987017707. The reversal of 49038987017600 is 671078983094.

49038987017600 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×49038987017600³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 7662338522 + ... + 7662344921.

Almost surely, 2^{49038987017600} is an apocalyptic number.

49038987017600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

49038987017600 is an abundant number, since it is smaller than the sum of its proper divisors (72102635607220).

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

49038987017600 is a wasteful number, since it uses less digits than its factorization.

49038987017600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15324683467 (or 15324683450 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 62.

The spelling of 49038987017600 in words is "forty-nine trillion, thirty-eight billion, nine hundred eighty-seven million, seventeen thousand, six hundred".