5144868867600 has 2400 divisors, whose sum is σ = 23772673689600. Its totient is φ = 1034643456000.

The previous prime is 5144868867581. The next prime is 5144868867637. The reversal of 5144868867600 is 67688684415.

5144868867600 is a `hidden beast` number, since 5 + 1 + 4 + 486 + 8 + 86 + 76 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 21348003480 + ... + 21348003720.

It is an arithmetic number, because the mean of its divisors is an integer number (9905280704).

Almost surely, 2^{5144868867600} is an apocalyptic number.

5144868867600 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 5144868867600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11886336844800).

5144868867600 is an abundant number, since it is smaller than the sum of its proper divisors (18627804822000).

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

5144868867600 is a wasteful number, since it uses less digits than its factorization.

5144868867600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 5144868867600 in words is "five trillion, one hundred forty-four billion, eight hundred sixty-eight million, eight hundred sixty-seven thousand, six hundred".