48210467760000 has 4800 divisors, whose sum is σ = 234253312444800. Its totient is φ = 9607403520000.

The previous prime is 48210467759963. The next prime is 48210467760001. The reversal of 48210467760000 is 6776401284.

48210467760000 is a `hidden beast` number, since 482 + 1 + 0 + 46 + 77 + 60 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4800).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48210467760001) by changing a digit.

It is a polite number, since it can be written in 599 ways as a sum of consecutive naturals, for example, 145650959835 + ... + 145650960165.

It is an arithmetic number, because the mean of its divisors is an integer number (48802773426).

Almost surely, 2^{48210467760000} is an apocalyptic number.

48210467760000 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 48210467760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117126656222400).

48210467760000 is an abundant number, since it is smaller than the sum of its proper divisors (186042844684800).

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

48210467760000 is a wasteful number, since it uses less digits than its factorization.

48210467760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 48210467760000 in words is "forty-eight trillion, two hundred ten billion, four hundred sixty-seven million, seven hundred sixty thousand".