48082636800 has 1560 divisors, whose sum is σ = 212367336192. Its totient is φ = 10616832000.

The previous prime is 48082636793. The next prime is 48082636853. The reversal of 48082636800 is 863628084.

It is a happy number.

48082636800 is a `hidden beast` number, since 4 + 8 + 0 + 8 + 2 + 636 + 8 + 0 + 0 = 666.

It is a super-3 number, since 3×48082636800³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1551052785 + ... + 1551052815.

Almost surely, 2^48082636800 is an apocalyptic number.

48082636800 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 48082636800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106183668096).

48082636800 is an abundant number, since it is smaller than the sum of its proper divisors (164284699392).

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

48082636800 is a wasteful number, since it uses less digits than its factorization.

48082636800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 48082636800 in words is "forty-eight billion, eighty-two million, six hundred thirty-six thousand, eight hundred".