51664887300096 has 1800 divisors, whose sum is σ = 187041673332360. Its totient is φ = 14158437285888.

The previous prime is 51664887300029. The next prime is 51664887300127. The reversal of 51664887300096 is 69000378846615.

51664887300096 is a `hidden beast` number, since 5 + 1 + 66 + 488 + 7 + 3 + 0 + 0 + 0 + 96 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 38555158118400 + 13109729181696 = 6209280^2 + 3620736^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 262258311070 + ... + 262258311266.

Almost surely, 2^{51664887300096} is an apocalyptic number.

51664887300096 is a gapful number since it is divisible by the number (56) 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 51664887300096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93520836666180).

51664887300096 is an abundant number, since it is smaller than the sum of its proper divisors (135376786032264).

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

51664887300096 is a wasteful number, since it uses less digits than its factorization.

51664887300096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 51664887300096 in words is "fifty-one trillion, six hundred sixty-four billion, eight hundred eighty-seven million, three hundred thousand, ninety-six".