48429057600 has 1680 divisors, whose sum is σ = 232685392896. Its totient is φ = 9580032000.

The previous prime is 48429057571. The next prime is 48429057617. The reversal of 48429057600 is 675092484.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 229521495 + ... + 229521705.

Almost surely, 2^48429057600 is an apocalyptic number.

48429057600 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 48429057600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116342696448).

48429057600 is an abundant number, since it is smaller than the sum of its proper divisors (184256335296).

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

48429057600 is a wasteful number, since it uses less digits than its factorization.

48429057600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 48429057600 in words is "forty-eight billion, four hundred twenty-nine million, fifty-seven thousand, six hundred".