48353942302400 has 672 divisors, whose sum is σ = 152246999568384. Its totient is φ = 14731591680000.

The previous prime is 48353942302399. The next prime is 48353942302439. The reversal of 48353942302400 is 420324935384.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 241898495 + ... + 242098305.

It is an arithmetic number, because the mean of its divisors is an integer number (226558035072).

Almost surely, 2^{48353942302400} is an apocalyptic number.

48353942302400 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 48353942302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76123499784192).

48353942302400 is an abundant number, since it is smaller than the sum of its proper divisors (103893057265984).

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

48353942302400 is a wasteful number, since it uses less digits than its factorization.

48353942302400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199929 (or 199914 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 47.

The spelling of 48353942302400 in words is "forty-eight trillion, three hundred fifty-three billion, nine hundred forty-two million, three hundred two thousand, four hundred".