48538730822400 has 2160 divisors, whose sum is σ = 228018133905408. Its totient is φ = 9910480896000.

The previous prime is 48538730822383. The next prime is 48538730822419. The reversal of 48538730822400 is 422803783584.

48538730822400 is a `hidden beast` number, since 4 + 8 + 5 + 387 + 30 + 8 + 224 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1462389805 + ... + 1462422995.

Almost surely, 2^{48538730822400} is an apocalyptic number.

48538730822400 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 48538730822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114009066952704).

48538730822400 is an abundant number, since it is smaller than the sum of its proper divisors (179479403083008).

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

48538730822400 is a wasteful number, since it uses less digits than its factorization.

48538730822400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33280 (or 33252 counting only the distinct ones).

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

The spelling of 48538730822400 in words is "forty-eight trillion, five hundred thirty-eight billion, seven hundred thirty million, eight hundred twenty-two thousand, four hundred".