48712790880 has 288 divisors, whose sum is σ = 185651784864. Its totient is φ = 11990716416.

The previous prime is 48712790837. The next prime is 48712790909. The reversal of 48712790880 is 8809721784.

It is a happy number.

48712790880 is a `hidden beast` number, since 487 + 12 + 79 + 0 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×48712790880² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

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, 457252 + ... + 553628.

It is an arithmetic number, because the mean of its divisors is an integer number (644624253).

Almost surely, 2^48712790880 is an apocalyptic number.

48712790880 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 48712790880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92825892432).

48712790880 is an abundant number, since it is smaller than the sum of its proper divisors (136938993984).

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

48712790880 is a wasteful number, since it uses less digits than its factorization.

48712790880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96420 (or 96400 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 48712790880 in words is "forty-eight billion, seven hundred twelve million, seven hundred ninety thousand, eight hundred eighty".