48800404800 has 336 divisors, whose sum is σ = 203310459520. Its totient is φ = 11154309120.

The previous prime is 48800404787. The next prime is 48800404837. The reversal of 48800404800 is 840400884.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 221712 + ... + 383088.

Almost surely, 2^48800404800 is an apocalyptic number.

48800404800 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 48800404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101655229760).

48800404800 is an abundant number, since it is smaller than the sum of its proper divisors (154510054720).

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

48800404800 is a wasteful number, since it uses less digits than its factorization.

48800404800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161415 (or 161394 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 48800404800 in words is "forty-eight billion, eight hundred million, four hundred four thousand, eight hundred".