51705298944 has 540 divisors, whose sum is σ = 171548745004. Its totient is φ = 15479341056.

The previous prime is 51705298901. The next prime is 51705298961. The reversal of 51705298944 is 44989250715.

It is a happy number.

51705298944 is a `hidden beast` number, since 5 + 1 + 70 + 529 + 8 + 9 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 27518828544 + 24186470400 = 165888^2 + 155520^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1397440494 + ... + 1397440530.

Almost surely, 2^51705298944 is an apocalyptic number.

51705298944 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 51705298944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85774372502).

51705298944 is an abundant number, since it is smaller than the sum of its proper divisors (119843446060).

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

51705298944 is an frugal number, since it uses more digits than its factorization.

51705298944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 51705298944 in words is "fifty-one billion, seven hundred five million, two hundred ninety-eight thousand, nine hundred forty-four".