49078976256000 has 576 divisors, whose sum is σ = 179142810537600. Its totient is φ = 12922011648000.

The previous prime is 49078976255989. The next prime is 49078976256001. The reversal of 49078976256000 is 65267987094.

49078976256000 is a `hidden beast` number, since 4 + 9 + 0 + 7 + 8 + 9 + 7 + 62 + 560 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49078976256001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 181881180 + ... + 182150820.

It is an arithmetic number, because the mean of its divisors is an integer number (311011823850).

Almost surely, 2^{49078976256000} is an apocalyptic number.

49078976256000 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 49078976256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89571405268800).

49078976256000 is an abundant number, since it is smaller than the sum of its proper divisors (130063834281600).

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

49078976256000 is a wasteful number, since it uses less digits than its factorization.

49078976256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269763 (or 269730 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 49078976256000 in words is "forty-nine trillion, seventy-eight billion, nine hundred seventy-six million, two hundred fifty-six thousand".