48302092800 has 720 divisors, whose sum is σ = 192211224480. Its totient is φ = 11875368960.

The previous prime is 48302092777. The next prime is 48302092829. The reversal of 48302092800 is 829020384.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 58405987 + ... + 58406813.

It is an arithmetic number, because the mean of its divisors is an integer number (266960034).

Almost surely, 2^48302092800 is an apocalyptic number.

48302092800 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 48302092800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96105612240).

48302092800 is an abundant number, since it is smaller than the sum of its proper divisors (143909131680).

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

48302092800 is a wasteful number, since it uses less digits than its factorization.

48302092800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 48302092800 in words is "forty-eight billion, three hundred two million, ninety-two thousand, eight hundred".