48273389606400 has 480 divisors, whose sum is σ = 188533774851840. Its totient is φ = 10653435985920.

The previous prime is 48273389606383. The next prime is 48273389606401. The reversal of 48273389606400 is 460698337284.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48273389606401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4698847 + ... + 10891553.

It is an arithmetic number, because the mean of its divisors is an integer number (392778697608).

Almost surely, 2^{48273389606400} is an apocalyptic number.

48273389606400 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 48273389606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94266887425920).

48273389606400 is an abundant number, since it is smaller than the sum of its proper divisors (140260385245440).

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

48273389606400 is a wasteful number, since it uses less digits than its factorization.

48273389606400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6192774 (or 6192753 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 60.

The spelling of 48273389606400 in words is "forty-eight trillion, two hundred seventy-three billion, three hundred eighty-nine million, six hundred six thousand, four hundred".