48968582400 has 972 divisors, whose sum is σ = 194710475232. Its totient is φ = 12152954880.

The previous prime is 48968582393. The next prime is 48968582417. The reversal of 48968582400 is 428586984.

48968582400 is a `hidden beast` number, since 4 + 89 + 6 + 85 + 82 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (972).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1323475182 + ... + 1323475218.

Almost surely, 2^48968582400 is an apocalyptic number.

48968582400 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 48968582400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97355237616).

48968582400 is an abundant number, since it is smaller than the sum of its proper divisors (145741892832).

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

48968582400 is an equidigital number, since it uses as much as digits as its factorization.

48968582400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 48968582400 in words is "forty-eight billion, nine hundred sixty-eight million, five hundred eighty-two thousand, four hundred".