5035665051648 has 832 divisors, whose sum is σ = 18716558192640. Its totient is φ = 1299765657600.

The previous prime is 5035665051643. The next prime is 5035665051691. The reversal of 5035665051648 is 8461505665305.

5035665051648 is a `hidden beast` number, since 5 + 0 + 35 + 6 + 6 + 50 + 516 + 48 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5035665051594 and 5035665051603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5035665051643) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1422100758 + ... + 1422104298.

Almost surely, 2^{5035665051648} 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 5035665051648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9358279096320).

5035665051648 is an abundant number, since it is smaller than the sum of its proper divisors (13680893140992).

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

5035665051648 is a wasteful number, since it uses less digits than its factorization.

5035665051648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3759 (or 3731 counting only the distinct ones).

The product of its (nonzero) digits is 12960000, while the sum is 54.

The spelling of 5035665051648 in words is "five trillion, thirty-five billion, six hundred sixty-five million, fifty-one thousand, six hundred forty-eight".