5007577959072 has 864 divisors, whose sum is σ = 17048441329920. Its totient is φ = 1434862356480.

The previous prime is 5007577959031. The next prime is 5007577959077. The reversal of 5007577959072 is 2709597757005.

5007577959072 is a `hidden beast` number, since 5 + 0 + 0 + 7 + 577 + 9 + 59 + 0 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is not an unprimeable number, because it can be changed into a prime (5007577959077) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3163345993 + ... + 3163347575.

It is an arithmetic number, because the mean of its divisors is an integer number (19731992280).

Almost surely, 2^{5007577959072} is an apocalyptic number.

5007577959072 is a gapful number since it is divisible by the number (52) 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 5007577959072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8524220664960).

5007577959072 is an abundant number, since it is smaller than the sum of its proper divisors (12040863370848).

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

5007577959072 is a wasteful number, since it uses less digits than its factorization.

5007577959072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1710 (or 1681 counting only the distinct ones).

The product of its (nonzero) digits is 48620250, while the sum is 63.

The spelling of 5007577959072 in words is "five trillion, seven billion, five hundred seventy-seven million, nine hundred fifty-nine thousand, seventy-two".