48770254080000 has 1440 divisors, whose sum is σ = 180149463093600. Its totient is φ = 12703629312000.

The previous prime is 48770254079999. The next prime is 48770254080029. The reversal of 48770254080000 is 8045207784.

48770254080000 is a `hidden beast` number, since 487 + 70 + 25 + 4 + 0 + 80 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 138159359824 + ... + 138159360176.

It is an arithmetic number, because the mean of its divisors is an integer number (125103793815).

Almost surely, 2^{48770254080000} is an apocalyptic number.

48770254080000 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 48770254080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90074731546800).

48770254080000 is an abundant number, since it is smaller than the sum of its proper divisors (131379209013600).

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

48770254080000 is a wasteful number, since it uses less digits than its factorization.

48770254080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

Adding to 48770254080000 its reverse (8045207784), we get a palindrome (48778299287784).

The spelling of 48770254080000 in words is "forty-eight trillion, seven hundred seventy billion, two hundred fifty-four million, eighty thousand".