48784391251200 has 2160 divisors, whose sum is σ = 210123621227520. Its totient is φ = 11128165171200.

The previous prime is 48784391251199. The next prime is 48784391251201. The reversal of 48784391251200 is 215219348784.

48784391251200 is a `hidden beast` number, since 4 + 8 + 7 + 84 + 39 + 12 + 512 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (48784391251199) and next prime (48784391251201).

It is a tau number, because it is divible by the number of its divisors (2160).

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 (48784391251201) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 11729834721 + ... + 11729838879.

It is an arithmetic number, because the mean of its divisors is an integer number (97279454272).

Almost surely, 2^{48784391251200} is an apocalyptic number.

48784391251200 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 48784391251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105061810613760).

48784391251200 is an abundant number, since it is smaller than the sum of its proper divisors (161339229976320).

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

48784391251200 is a wasteful number, since it uses less digits than its factorization.

48784391251200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4247 (or 4197 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 48784391251200 in words is "forty-eight trillion, seven hundred eighty-four billion, three hundred ninety-one million, two hundred fifty-one thousand, two hundred".