49746539972800 has 168 divisors, whose sum is σ = 133628795482032. Its totient is φ = 18077018112000.

The previous prime is 49746539972653. The next prime is 49746539972873. The reversal of 49746539972800 is 827993564794.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24234580 + ... + 26207020.

Almost surely, 2^{49746539972800} is an apocalyptic number.

49746539972800 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 49746539972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66814397741016).

49746539972800 is an abundant number, since it is smaller than the sum of its proper divisors (83882255509232).

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

49746539972800 is a wasteful number, since it uses less digits than its factorization.

49746539972800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1973907 (or 1973892 counting only the distinct ones).

The product of its (nonzero) digits is 823011840, while the sum is 73.

The spelling of 49746539972800 in words is "forty-nine trillion, seven hundred forty-six billion, five hundred thirty-nine million, nine hundred seventy-two thousand, eight hundred".