51364218576 has 160 divisors (see below), whose sum is σ = 147162009600. Its totient is φ = 15306762240.

The previous prime is 51364218559. The next prime is 51364218583. The reversal of 51364218576 is 67581246315.

It is a super-3 number, since 3×51364218576³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 35693665 + ... + 35695103.

It is an arithmetic number, because the mean of its divisors is an integer number (919762560).

Almost surely, 2^51364218576 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 51364218576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73581004800).

51364218576 is an abundant number, since it is smaller than the sum of its proper divisors (95797791024).

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

51364218576 is a wasteful number, since it uses less digits than its factorization.

51364218576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2537 (or 2531 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 48.

The spelling of 51364218576 in words is "fifty-one billion, three hundred sixty-four million, two hundred eighteen thousand, five hundred seventy-six".