48487788000 has 384 divisors, whose sum is σ = 177257808000. Its totient is φ = 12874291200.

The previous prime is 48487787989. The next prime is 48487788001. The reversal of 48487788000 is 88778484.

It is a happy number.

48487788000 is a `hidden beast` number, since 484 + 87 + 7 + 8 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48487788001) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 29051166 + ... + 29052834.

It is an arithmetic number, because the mean of its divisors is an integer number (461608875).

Almost surely, 2^48487788000 is an apocalyptic number.

48487788000 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 48487788000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88628904000).

48487788000 is an abundant number, since it is smaller than the sum of its proper divisors (128770020000).

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

48487788000 is a wasteful number, since it uses less digits than its factorization.

48487788000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1972 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 3211264, while the sum is 54.

The spelling of 48487788000 in words is "forty-eight billion, four hundred eighty-seven million, seven hundred eighty-eight thousand".