51401366096832 has 168 divisors, whose sum is σ = 155093185977600. Its totient is φ = 16231372282368.

The previous prime is 51401366096827. The next prime is 51401366096837. The reversal of 51401366096832 is 23869066310415.

51401366096832 is a `hidden beast` number, since 5 + 14 + 0 + 13 + 6 + 609 + 6 + 8 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (51401366096827) and next prime (51401366096837).

It is a super-3 number, since 3×51401366096832³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51401366096837) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 333353769 + ... + 333507927.

Almost surely, 2^{51401366096832} 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 51401366096832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77546592988800).

51401366096832 is an abundant number, since it is smaller than the sum of its proper divisors (103691819880768).

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

51401366096832 is a wasteful number, since it uses less digits than its factorization.

51401366096832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184663 (or 184650 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 51401366096832 in words is "fifty-one trillion, four hundred one billion, three hundred sixty-six million, ninety-six thousand, eight hundred thirty-two".