48255938438400 has 5184 divisors, whose sum is σ = 238069882552320. Its totient is φ = 9368226201600.

The previous prime is 48255938438399. The next prime is 48255938438437. The reversal of 48255938438400 is 483483955284.

48255938438400 is a `hidden beast` number, since 4 + 8 + 2 + 5 + 593 + 8 + 4 + 38 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5184).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 288957715117 + ... + 288957715283.

Almost surely, 2^{48255938438400} is an apocalyptic number.

48255938438400 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 48255938438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119034941276160).

48255938438400 is an abundant number, since it is smaller than the sum of its proper divisors (189813944113920).

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

48255938438400 is a wasteful number, since it uses less digits than its factorization.

48255938438400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 132710400, while the sum is 63.

The spelling of 48255938438400 in words is "forty-eight trillion, two hundred fifty-five billion, nine hundred thirty-eight million, four hundred thirty-eight thousand, four hundred".