5012953077600 has 2160 divisors, whose sum is σ = 21329138754000. Its totient is φ = 1138416353280.

The previous prime is 5012953077569. The next prime is 5012953077607. The reversal of 5012953077600 is 67703592105.

5012953077600 is a `hidden beast` number, since 5 + 0 + 1 + 2 + 9 + 5 + 30 + 7 + 7 + 600 = 666.

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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5012953077607) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 14363762226 + ... + 14363762574.

It is an arithmetic number, because the mean of its divisors is an integer number (9874601275).

Almost surely, 2^{5012953077600} is an apocalyptic number.

5012953077600 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 5012953077600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10664569377000).

5012953077600 is an abundant number, since it is smaller than the sum of its proper divisors (16316185676400).

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

5012953077600 is a wasteful number, since it uses less digits than its factorization.

5012953077600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The spelling of 5012953077600 in words is "five trillion, twelve billion, nine hundred fifty-three million, seventy-seven thousand, six hundred".