48626291788800 has 2112 divisors, whose sum is σ = 194258101685760. Its totient is φ = 10595598336000.

The previous prime is 48626291788769. The next prime is 48626291788801. The reversal of 48626291788800 is 888719262684.

It is a tau number, because it is divible by the number of its divisors (2112).

It is not an unprimeable number, because it can be changed into a prime (48626291788801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24349669402 + ... + 24349671398.

Almost surely, 2^{48626291788800} is an apocalyptic number.

48626291788800 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 48626291788800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97129050842880).

48626291788800 is an abundant number, since it is smaller than the sum of its proper divisors (145631809896960).

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

48626291788800 is a wasteful number, since it uses less digits than its factorization.

48626291788800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2138 (or 2115 counting only the distinct ones).

The product of its (nonzero) digits is 148635648, while the sum is 69.

The spelling of 48626291788800 in words is "forty-eight trillion, six hundred twenty-six billion, two hundred ninety-one million, seven hundred eighty-eight thousand, eight hundred".