48768693369600 has 432 divisors, whose sum is σ = 171077694889248. Its totient is φ = 12192338411520.

The previous prime is 48768693369569. The next prime is 48768693369631. The reversal of 48768693369600 is 696339686784.

It is an interprime number because it is at equal distance from previous prime (48768693369569) and next prime (48768693369631).

It is a Harshad number since it is a multiple of its sum of digits (75).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83594112 + ... + 84175488.

It is an arithmetic number, because the mean of its divisors is an integer number (396013182614).

Almost surely, 2^{48768693369600} is an apocalyptic number.

48768693369600 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 48768693369600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85538847444624).

48768693369600 is an abundant number, since it is smaller than the sum of its proper divisors (122309001519648).

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

48768693369600 is a wasteful number, since it uses less digits than its factorization.

48768693369600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581680 (or 581661 counting only the distinct ones).

The product of its (nonzero) digits is 1693052928, while the sum is 75.

The spelling of 48768693369600 in words is "forty-eight trillion, seven hundred sixty-eight billion, six hundred ninety-three million, three hundred sixty-nine thousand, six hundred".