51655212309792 has 384 divisors, whose sum is σ = 177236912498688. Its totient is φ = 12783229747200.

The previous prime is 51655212309719. The next prime is 51655212309793. The reversal of 51655212309792 is 29790321255615.

It is a super-3 number, since 3×51655212309792³ (a number of 42 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (51655212309793) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48632067 + ... + 49682877.

It is an arithmetic number, because the mean of its divisors is an integer number (461554459632).

Almost surely, 2^{51655212309792} is an apocalyptic number.

51655212309792 is a gapful number since it is divisible by the number (52) 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 51655212309792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88618456249344).

51655212309792 is an abundant number, since it is smaller than the sum of its proper divisors (125581700188896).

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

51655212309792 is a wasteful number, since it uses less digits than its factorization.

51655212309792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051192 (or 1051184 counting only the distinct ones).

The product of its (nonzero) digits is 10206000, while the sum is 57.

The spelling of 51655212309792 in words is "fifty-one trillion, six hundred fifty-five billion, two hundred twelve million, three hundred nine thousand, seven hundred ninety-two".