5363251817664 has 336 divisors, whose sum is σ = 16416059095680. Its totient is φ = 1540031201280.

The previous prime is 5363251817659. The next prime is 5363251817669. The reversal of 5363251817664 is 4667181523635.

It is an interprime number because it is at equal distance from previous prime (5363251817659) and next prime (5363251817669).

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (5363251817669) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41241384 + ... + 41371224.

Almost surely, 2^{5363251817664} 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 5363251817664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8208029547840).

5363251817664 is an abundant number, since it is smaller than the sum of its proper divisors (11052807278016).

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

5363251817664 is a wasteful number, since it uses less digits than its factorization.

5363251817664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129968 (or 129945 counting only the distinct ones).

The product of its digits is 21772800, while the sum is 57.

The spelling of 5363251817664 in words is "five trillion, three hundred sixty-three billion, two hundred fifty-one million, eight hundred seventeen thousand, six hundred sixty-four".