48728008243200 has 2304 divisors, whose sum is σ = 202689527040000. Its totient is φ = 10150045286400.

The previous prime is 48728008243199. The next prime is 48728008243283. The reversal of 48728008243200 is 234280082784.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 48728008243200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24622539811 + ... + 24622541789.

It is an arithmetic number, because the mean of its divisors is an integer number (87972885000).

Almost surely, 2^{48728008243200} is an apocalyptic number.

48728008243200 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 48728008243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101344763520000).

48728008243200 is an abundant number, since it is smaller than the sum of its proper divisors (153961518796800).

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

48728008243200 is a wasteful number, since it uses less digits than its factorization.

48728008243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2116 (or 2091 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 48.

The spelling of 48728008243200 in words is "forty-eight trillion, seven hundred twenty-eight billion, eight million, two hundred forty-three thousand, two hundred".