51341209920 has 1008 divisors, whose sum is σ = 239046837120. Its totient is φ = 9841582080.

The previous prime is 51341209901. The next prime is 51341209951. The reversal of 51341209920 is 2990214315.

51341209920 = 892³ + 893³ + ... + 956³.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 31710871 + ... + 31712489.

It is an arithmetic number, because the mean of its divisors is an integer number (237149640).

Almost surely, 2^51341209920 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 51341209920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119523418560).

51341209920 is an abundant number, since it is smaller than the sum of its proper divisors (187705627200).

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

51341209920 is a wasteful number, since it uses less digits than its factorization.

51341209920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1684 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 51341209920 in words is "fifty-one billion, three hundred forty-one million, two hundred nine thousand, nine hundred twenty".