48800400000 has 384 divisors, whose sum is σ = 176799309120. Its totient is φ = 11827200000.

The previous prime is 48800399959. The next prime is 48800400013. The reversal of 48800400000 is 400884.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 13198152 + ... + 13201848.

Almost surely, 2^48800400000 is an apocalyptic number.

48800400000 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 48800400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88399654560).

48800400000 is an abundant number, since it is smaller than the sum of its proper divisors (127998909120).

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

48800400000 is an equidigital number, since it uses as much as digits as its factorization.

48800400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3750 (or 3718 counting only the distinct ones).

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

Adding to 48800400000 its reverse (400884), we get a palindrome (48800800884).

The spelling of 48800400000 in words is "forty-eight billion, eight hundred million, four hundred thousand".