49719973754880 has 960 divisors, whose sum is σ = 209368201442400. Its totient is φ = 11126121431040.

The previous prime is 49719973754833. The next prime is 49719973754903. The reversal of 49719973754880 is 8845737991794.

49719973754880 is a `hidden beast` number, since 4 + 9 + 7 + 19 + 97 + 37 + 5 + 488 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-4 number, since 4×49719973754880⁴ (a number of 56 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 49719973754880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 118400326 + ... + 118819514.

Almost surely, 2^{49719973754880} is an apocalyptic number.

49719973754880 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 49719973754880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104684100721200).

49719973754880 is an abundant number, since it is smaller than the sum of its proper divisors (159648227687520).

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

49719973754880 is a wasteful number, since it uses less digits than its factorization.

49719973754880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419252 (or 419223 counting only the distinct ones).

The product of its (nonzero) digits is 3840721920, while the sum is 81.

The spelling of 49719973754880 in words is "forty-nine trillion, seven hundred nineteen billion, nine hundred seventy-three million, seven hundred fifty-four thousand, eight hundred eighty".