48800004000 has 768 divisors, whose sum is σ = 182598893568. Its totient is φ = 11289600000.

The previous prime is 48800003983. The next prime is 48800004037. The reversal of 48800004000 is 40000884.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 384251937 + ... + 384252063.

It is an arithmetic number, because the mean of its divisors is an integer number (237758976).

Almost surely, 2^48800004000 is an apocalyptic number.

48800004000 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 48800004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91299446784).

48800004000 is an abundant number, since it is smaller than the sum of its proper divisors (133798889568).

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

48800004000 is a wasteful number, since it uses less digits than its factorization.

48800004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 48800004000 its reverse (40000884), we get a palindrome (48840004884).

The spelling of 48800004000 in words is "forty-eight billion, eight hundred million, four thousand".