49624768972800 has 2160 divisors, whose sum is σ = 217484052786000. Its totient is φ = 11147859394560.

The previous prime is 49624768972717. The next prime is 49624768972829. The reversal of 49624768972800 is 827986742694.

49624768972800 is a `hidden beast` number, since 4 + 9 + 6 + 2 + 476 + 8 + 9 + 72 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 11989553131 + ... + 11989557269.

It is an arithmetic number, because the mean of its divisors is an integer number (100687061475).

Almost surely, 2^{49624768972800} is an apocalyptic number.

49624768972800 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 49624768972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108742026393000).

49624768972800 is an abundant number, since it is smaller than the sum of its proper divisors (167859283813200).

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

49624768972800 is a wasteful number, since it uses less digits than its factorization.

49624768972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4256 (or 4215 counting only the distinct ones).

The product of its (nonzero) digits is 585252864, while the sum is 72.

The spelling of 49624768972800 in words is "forty-nine trillion, six hundred twenty-four billion, seven hundred sixty-eight million, nine hundred seventy-two thousand, eight hundred".