51167821824 has 612 divisors, whose sum is σ = 185741238384. Its totient is φ = 13759414272.

The previous prime is 51167821741. The next prime is 51167821843. The reversal of 51167821824 is 42812876115.

It is a tau number, because it is divible by the number of its divisors (612).

It is a super-2 number, since 2×51167821824² (a number of 22 digits) contains 22 as substring.

Its product of digits (215040) is a multiple of the sum of its prime factors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 51167821824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3009871864 + ... + 3009871880.

Almost surely, 2^51167821824 is an apocalyptic number.

51167821824 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51167821824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92870619192).

51167821824 is an abundant number, since it is smaller than the sum of its proper divisors (134573416560).

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

51167821824 is an frugal number, since it uses more digits than its factorization.

51167821824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 29 counting only the distinct ones).

The product of its digits is 215040, while the sum is 45.

The spelling of 51167821824 in words is "fifty-one billion, one hundred sixty-seven million, eight hundred twenty-one thousand, eight hundred twenty-four".