51143820000 has 1920 divisors, whose sum is σ = 238063795200. Its totient is φ = 9289728000.

The previous prime is 51143819957. The next prime is 51143820047. The reversal of 51143820000 is 2834115.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1763579986 + ... + 1763580014.

It is an arithmetic number, because the mean of its divisors is an integer number (123991560).

Almost surely, 2^51143820000 is an apocalyptic number.

51143820000 is a gapful number since it is divisible by the number (50) 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 51143820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119031897600).

51143820000 is an abundant number, since it is smaller than the sum of its proper divisors (186919975200).

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

51143820000 is a wasteful number, since it uses less digits than its factorization.

51143820000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The spelling of 51143820000 in words is "fifty-one billion, one hundred forty-three million, eight hundred twenty thousand".