48197397600 has 756 divisors, whose sum is σ = 194191469388. Its totient is φ = 11667110400.

The previous prime is 48197397569. The next prime is 48197397607. The reversal of 48197397600 is 679379184.

It is a happy number.

48197397600 is a `hidden beast` number, since 4 + 8 + 197 + 397 + 60 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48197397607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 70566859 + ... + 70567541.

It is an arithmetic number, because the mean of its divisors is an integer number (256867023).

Almost surely, 2^48197397600 is an apocalyptic number.

48197397600 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 48197397600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97095734694).

48197397600 is an abundant number, since it is smaller than the sum of its proper divisors (145994071788).

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

48197397600 is a wasteful number, since it uses less digits than its factorization.

48197397600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 48197397600 in words is "forty-eight billion, one hundred ninety-seven million, three hundred ninety-seven thousand, six hundred".