48975014400 has 960 divisors, whose sum is σ = 191800224000. Its totient is φ = 10899947520.

The previous prime is 48975014399. The next prime is 48975014411. The reversal of 48975014400 is 441057984.

It is a tau number, because it is divible by the number of its divisors (960).

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, 246105501 + ... + 246105699.

It is an arithmetic number, because the mean of its divisors is an integer number (199791900).

Almost surely, 2^48975014400 is an apocalyptic number.

48975014400 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 48975014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95900112000).

48975014400 is an abundant number, since it is smaller than the sum of its proper divisors (142825209600).

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

48975014400 is a wasteful number, since it uses less digits than its factorization.

48975014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 48975014400 in words is "forty-eight billion, nine hundred seventy-five million, fourteen thousand, four hundred".