4988252160000 has 1600 divisors, whose sum is σ = 19421633837760. Its totient is φ = 1274019840000.

The previous prime is 4988252159983. The next prime is 4988252160091. The reversal of 4988252160000 is 612528894.

4988252160000 is a `hidden beast` number, since 49 + 8 + 82 + 521 + 6 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1600).

It is a super-2 number, since 2×4988252160000² (a number of 26 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 51425279952 + ... + 51425280048.

Almost surely, 2^{4988252160000} is an apocalyptic number.

4988252160000 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 4988252160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9710816918880).

4988252160000 is an abundant number, since it is smaller than the sum of its proper divisors (14433381677760).

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

4988252160000 is an frugal number, since it uses more digits than its factorization.

4988252160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

Adding to 4988252160000 its reverse (612528894), we get a palindrome (4988864688894).

The spelling of 4988252160000 in words is "four trillion, nine hundred eighty-eight billion, two hundred fifty-two million, one hundred sixty thousand".