48773773278720 has 3200 divisors, whose sum is σ = 219715023052800. Its totient is φ = 10090237132800.

The previous prime is 48773773278719. The next prime is 48773773278749. The reversal of 48773773278720 is 2787237737784.

It is a happy number.

48773773278720 is a `hidden beast` number, since 487 + 7 + 3 + 7 + 7 + 3 + 2 + 78 + 72 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 76090129600 + ... + 76090130240.

It is an arithmetic number, because the mean of its divisors is an integer number (68660944704).

Almost surely, 2^{48773773278720} is an apocalyptic number.

48773773278720 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 48773773278720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109857511526400).

48773773278720 is an abundant number, since it is smaller than the sum of its proper divisors (170941249774080).

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

48773773278720 is a wasteful number, since it uses less digits than its factorization.

48773773278720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 1084253184, while the sum is 72.

The spelling of 48773773278720 in words is "forty-eight trillion, seven hundred seventy-three billion, seven hundred seventy-three million, two hundred seventy-eight thousand, seven hundred twenty".