49976745984000 has 2720 divisors, whose sum is σ = 209486673107712. Its totient is φ = 11749294080000.

The previous prime is 49976745983971. The next prime is 49976745984001. The reversal of 49976745984000 is 48954767994.

49976745984000 is a `hidden beast` number, since 4 + 9 + 97 + 6 + 7 + 45 + 98 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 49976745984000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49976745984001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 299261951917 + ... + 299261952083.

Almost surely, 2^{49976745984000} is an apocalyptic number.

49976745984000 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 49976745984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104743336553856).

49976745984000 is an abundant number, since it is smaller than the sum of its proper divisors (159509927123712).

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

49976745984000 is an equidigital number, since it uses as much as digits as its factorization.

49976745984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 49976745984000 in words is "forty-nine trillion, nine hundred seventy-six billion, seven hundred forty-five million, nine hundred eighty-four thousand".