48827144520000 has 1680 divisors, whose sum is σ = 225329820876160. Its totient is φ = 10145710080000.

The previous prime is 48827144519983. The next prime is 48827144520017. The reversal of 48827144520000 is 2544172884.

48827144520000 is a `hidden beast` number, since 4 + 8 + 82 + 7 + 1 + 44 + 520 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (48827144519983) and next prime (48827144520017).

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 914733312 + ... + 914786688.

Almost surely, 2^{48827144520000} is an apocalyptic number.

48827144520000 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 48827144520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112664910438080).

48827144520000 is an abundant number, since it is smaller than the sum of its proper divisors (176502676356160).

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

48827144520000 is a wasteful number, since it uses less digits than its factorization.

48827144520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53447 (or 53405 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

Adding to 48827144520000 its reverse (2544172884), we get a palindrome (48829688692884).

The spelling of 48827144520000 in words is "forty-eight trillion, eight hundred twenty-seven billion, one hundred forty-four million, five hundred twenty thousand".