48010136097600 has 1260 divisors, whose sum is σ = 193933276778340. Its totient is φ = 11633836032000.

The previous prime is 48010136097541. The next prime is 48010136097601. The reversal of 48010136097600 is 679063101084.

It is a happy number.

48010136097600 is a `hidden beast` number, since 4 + 8 + 0 + 1 + 0 + 1 + 36 + 0 + 9 + 7 + 600 = 666.

It can be written as a sum of positive squares in 18 ways, for example, as 24980963625216 + 23029172472384 = 4998096^2 + 4798872^2 .

It is a super-2 number, since 2×48010136097600² (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 not an unprimeable number, because it can be changed into a prime (48010136097601) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1086155500 + ... + 1086199700.

Almost surely, 2^{48010136097600} is an apocalyptic number.

48010136097600 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 48010136097600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96966638389170).

48010136097600 is an abundant number, since it is smaller than the sum of its proper divisors (145923140680740).

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

48010136097600 is a wasteful number, since it uses less digits than its factorization.

48010136097600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44298 (or 44257 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

Adding to 48010136097600 its reverse (679063101084), we get a palindrome (48689199198684).

The spelling of 48010136097600 in words is "forty-eight trillion, ten billion, one hundred thirty-six million, ninety-seven thousand, six hundred".