49537666890000 has 675 divisors, whose sum is σ = 179642230290523. Its totient is φ = 12738759936000.

The previous prime is 49537666889941. The next prime is 49537666890001. The reversal of 49537666890000 is 9866673594.

The square root of 49537666890000 is 7038300.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 22 ways, for example, as 48076972267536 + 1460694622464 = 6933756^2 + 1208592^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 49537666890000.

It is not an unprimeable number, because it can be changed into a prime (49537666890001) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 61233209596 + ... + 61233210404.

Almost surely, 2^{49537666890000} is an apocalyptic number.

49537666890000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

49537666890000 is the 7038300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49537666890000

49537666890000 is an abundant number, since it is smaller than the sum of its proper divisors (130104563400523).

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

49537666890000 is an frugal number, since it uses more digits than its factorization.

49537666890000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1710 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 49537666890000 in words is "forty-nine trillion, five hundred thirty-seven billion, six hundred sixty-six million, eight hundred ninety thousand".