51685497446400 has 1344 divisors, whose sum is σ = 202147430664960. Its totient is φ = 12901574246400.

The previous prime is 51685497446389. The next prime is 51685497446423. The reversal of 51685497446400 is 464479458615.

51685497446400 is a `hidden beast` number, since 5 + 1 + 6 + 8 + 549 + 7 + 4 + 46 + 40 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18518629005 + ... + 18518631795.

Almost surely, 2^{51685497446400} is an apocalyptic number.

51685497446400 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 51685497446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101073715332480).

51685497446400 is an abundant number, since it is smaller than the sum of its proper divisors (150461933218560).

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

51685497446400 is a wasteful number, since it uses less digits than its factorization.

51685497446400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3050 (or 3015 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 51685497446400 in words is "fifty-one trillion, six hundred eighty-five billion, four hundred ninety-seven million, four hundred forty-six thousand, four hundred".