48048040800 has 432 divisors, whose sum is σ = 177812369280. Its totient is φ = 12192768000.

The previous prime is 48048040757. The next prime is 48048040801. The reversal of 48048040800 is 804084084.

It is a super-2 number, since 2×48048040800² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48048040801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13613436 + ... + 13616964.

Almost surely, 2^48048040800 is an apocalyptic number.

48048040800 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 48048040800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88906184640).

48048040800 is an abundant number, since it is smaller than the sum of its proper divisors (129764328480).

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

48048040800 is a wasteful number, since it uses less digits than its factorization.

48048040800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3647 (or 3631 counting only the distinct ones).

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

The spelling of 48048040800 in words is "forty-eight billion, forty-eight million, forty thousand, eight hundred".