48126307507200 has 1056 divisors, whose sum is σ = 192938013329600. Its totient is φ = 11684035952640.

The previous prime is 48126307507189. The next prime is 48126307507211. The reversal of 48126307507200 is 270570362184.

48126307507200 is a `hidden beast` number, since 4 + 8 + 1 + 2 + 630 + 7 + 5 + 0 + 7 + 2 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (48126307507189) and next prime (48126307507211).

It is a super-2 number, since 2×48126307507200² (a number of 28 digits) contains 22 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 95 ways as a sum of consecutive naturals, for example, 655912116 + ... + 655985484.

Almost surely, 2^{48126307507200} is an apocalyptic number.

48126307507200 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 48126307507200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96469006664800).

48126307507200 is an abundant number, since it is smaller than the sum of its proper divisors (144811705822400).

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

48126307507200 is a wasteful number, since it uses less digits than its factorization.

48126307507200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73494 (or 73465 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

Adding to 48126307507200 its reverse (270570362184), we get a palindrome (48396877869384).

The spelling of 48126307507200 in words is "forty-eight trillion, one hundred twenty-six billion, three hundred seven million, five hundred seven thousand, two hundred".