48205670486400 has 3456 divisors, whose sum is σ = 220024015061760. Its totient is φ = 10369426636800.

The previous prime is 48205670486387. The next prime is 48205670486401. The reversal of 48205670486400 is 468407650284.

It is a happy number.

48205670486400 is a `hidden beast` number, since 4 + 8 + 2 + 0 + 56 + 70 + 486 + 40 + 0 = 666.

48205670486400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48205670486401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 58715797990 + ... + 58715798810.

It is an arithmetic number, because the mean of its divisors is an integer number (63664356210).

Almost surely, 2^{48205670486400} is an apocalyptic number.

48205670486400 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 48205670486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110012007530880).

48205670486400 is an abundant number, since it is smaller than the sum of its proper divisors (171818344575360).

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

48205670486400 is a wasteful number, since it uses less digits than its factorization.

48205670486400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 48205670486400 in words is "forty-eight trillion, two hundred five billion, six hundred seventy million, four hundred eighty-six thousand, four hundred".