49681797120000 has 1920 divisors, whose sum is σ = 190031629788000. Its totient is φ = 12963151872000.

The previous prime is 49681797119939. The next prime is 49681797120013. The reversal of 49681797120000 is 2179718694.

49681797120000 is a `hidden beast` number, since 496 + 81 + 7 + 9 + 71 + 2 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 333434879926 + ... + 333434880074.

Almost surely, 2^{49681797120000} is an apocalyptic number.

49681797120000 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 49681797120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95015814894000).

49681797120000 is an abundant number, since it is smaller than the sum of its proper divisors (140349832668000).

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

49681797120000 is an frugal number, since it uses more digits than its factorization.

49681797120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 49681797120000 in words is "forty-nine trillion, six hundred eighty-one billion, seven hundred ninety-seven million, one hundred twenty thousand".