48273507532800 has 3240 divisors, whose sum is σ = 207282477572352. Its totient is φ = 11036196864000.

The previous prime is 48273507532787. The next prime is 48273507532813. The reversal of 48273507532800 is 823570537284.

48273507532800 is a `hidden beast` number, since 4 + 8 + 2 + 7 + 3 + 507 + 53 + 2 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (48273507532787) and next prime (48273507532813).

It is a tau number, because it is divible by the number of its divisors (3240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 679908556765 + ... + 679908556835.

Almost surely, 2^{48273507532800} is an apocalyptic number.

48273507532800 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 48273507532800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103641238786176).

48273507532800 is an abundant number, since it is smaller than the sum of its proper divisors (159008970039552).

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

48273507532800 is an frugal number, since it uses more digits than its factorization.

48273507532800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 48273507532800 in words is "forty-eight trillion, two hundred seventy-three billion, five hundred seven million, five hundred thirty-two thousand, eight hundred".