5144696363520 has 800 divisors, whose sum is σ = 21785411894400. Its totient is φ = 1135371976704.

The previous prime is 5144696363519. The next prime is 5144696363557. The reversal of 5144696363520 is 253636964415.

5144696363520 is a `hidden beast` number, since 5 + 1 + 446 + 96 + 3 + 63 + 52 + 0 = 666.

It is a super-3 number, since 3×5144696363520³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 42032971 + ... + 42155189.

It is an arithmetic number, because the mean of its divisors is an integer number (27231764868).

Almost surely, 2^{5144696363520} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5144696363520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10892705947200).

5144696363520 is an abundant number, since it is smaller than the sum of its proper divisors (16640715530880).

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

5144696363520 is a wasteful number, since it uses less digits than its factorization.

5144696363520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122290 (or 122265 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 54.

The spelling of 5144696363520 in words is "five trillion, one hundred forty-four billion, six hundred ninety-six million, three hundred sixty-three thousand, five hundred twenty".