53019216640 has 144 divisors (see below), whose sum is σ = 137678901696. Its totient is φ = 19445760000.

The previous prime is 53019216629. The next prime is 53019216671. The reversal of 53019216640 is 4661291035.

It is a super-3 number, since 3×53019216640³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 53019216640.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2502090 + ... + 2523190.

It is an arithmetic number, because the mean of its divisors is an integer number (956103484).

Almost surely, 2^53019216640 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 53019216640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68839450848).

53019216640 is an abundant number, since it is smaller than the sum of its proper divisors (84659685056).

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

53019216640 is a wasteful number, since it uses less digits than its factorization.

53019216640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21286 (or 21272 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The spelling of 53019216640 in words is "fifty-three billion, nineteen million, two hundred sixteen thousand, six hundred forty".