53120216640 has 224 divisors, whose sum is σ = 173236371840. Its totient is φ = 13782630400.

The previous prime is 53120216609. The next prime is 53120216671. The reversal of 53120216640 is 4661202135.

It is an interprime number because it is at equal distance from previous prime (53120216609) and next prime (53120216671).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 53120216598 and 53120216607.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16490230 + ... + 16493450.

It is an arithmetic number, because the mean of its divisors is an integer number (773376660).

Almost surely, 2^53120216640 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 53120216640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86618185920).

53120216640 is an abundant number, since it is smaller than the sum of its proper divisors (120116155200).

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

53120216640 is a wasteful number, since it uses less digits than its factorization.

53120216640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3701 (or 3691 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 53120216640 its reverse (4661202135), we get a palindrome (57781418775).

The spelling of 53120216640 in words is "fifty-three billion, one hundred twenty million, two hundred sixteen thousand, six hundred forty".