48265399526400 has 2376 divisors, whose sum is σ = 218932741872000. Its totient is φ = 10089759375360.

The previous prime is 48265399526293. The next prime is 48265399526401. The reversal of 48265399526400 is 462599356284.

It is a happy number.

48265399526400 is a `hidden beast` number, since 4 + 8 + 2 + 6 + 539 + 9 + 52 + 6 + 40 + 0 = 666.

48265399526400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (48265399526401) 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 215 ways as a sum of consecutive naturals, for example, 6220565721 + ... + 6220573479.

Almost surely, 2^{48265399526400} is an apocalyptic number.

48265399526400 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 48265399526400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109466370936000).

48265399526400 is an abundant number, since it is smaller than the sum of its proper divisors (170667342345600).

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

48265399526400 is a wasteful number, since it uses less digits than its factorization.

48265399526400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7857 (or 7824 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 63.

The spelling of 48265399526400 in words is "forty-eight trillion, two hundred sixty-five billion, three hundred ninety-nine million, five hundred twenty-six thousand, four hundred".