5007889152000 has 960 divisors, whose sum is σ = 21335269475520. Its totient is φ = 1144627200000.

The previous prime is 5007889151977. The next prime is 5007889152023. The reversal of 5007889152000 is 2519887005.

It is a happy number.

5007889152000 is a `hidden beast` number, since 50 + 0 + 78 + 8 + 9 + 1 + 520 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5007889151977) and next prime (5007889152023).

It is a tau number, because it is divible by the number of its divisors (960).

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 (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 145134750 + ... + 145169250.

It is an arithmetic number, because the mean of its divisors is an integer number (22224239037).

Almost surely, 2^{5007889152000} is an apocalyptic number.

5007889152000 is a gapful number since it is divisible by the number (50) 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 5007889152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10667634737760).

5007889152000 is an abundant number, since it is smaller than the sum of its proper divisors (16327380323520).

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

5007889152000 is an equidigital number, since it uses as much as digits as its factorization.

5007889152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34557 (or 34518 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 5007889152000 in words is "five trillion, seven billion, eight hundred eighty-nine million, one hundred fifty-two thousand".