48681498979200 has 768 divisors, whose sum is σ = 172514672640000. Its totient is φ = 12029384908800.

The previous prime is 48681498979147. The next prime is 48681498979207. The reversal of 48681498979200 is 297989418684.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48681498979207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1644686001 + ... + 1644715599.

It is an arithmetic number, because the mean of its divisors is an integer number (224628480000).

Almost surely, 2^{48681498979200} is an apocalyptic number.

48681498979200 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 48681498979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86257336320000).

48681498979200 is an abundant number, since it is smaller than the sum of its proper divisors (123833173660800).

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

48681498979200 is a wasteful number, since it uses less digits than its factorization.

48681498979200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29843 (or 29826 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 75.

The spelling of 48681498979200 in words is "forty-eight trillion, six hundred eighty-one billion, four hundred ninety-eight million, nine hundred seventy-nine thousand, two hundred".