48152981923200 has 2304 divisors, whose sum is σ = 219273215616000. Its totient is φ = 9974587392000.

The previous prime is 48152981923199. The next prime is 48152981923201. The reversal of 48152981923200 is 232918925184.

48152981923200 is a `hidden beast` number, since 4 + 8 + 1 + 529 + 8 + 1 + 92 + 3 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (48152981923199) and next prime (48152981923201).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48152981923201) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 54657186760 + ... + 54657187640.

It is an arithmetic number, because the mean of its divisors is an integer number (95170666500).

Almost surely, 2^{48152981923200} is an apocalyptic number.

48152981923200 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 48152981923200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109636607808000).

48152981923200 is an abundant number, since it is smaller than the sum of its proper divisors (171120233692800).

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

48152981923200 is a wasteful number, since it uses less digits than its factorization.

48152981923200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1446 (or 1412 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 48152981923200 in words is "forty-eight trillion, one hundred fifty-two billion, nine hundred eighty-one million, nine hundred twenty-three thousand, two hundred".