51282697697616 has 640 divisors, whose sum is σ = 175602520719360. Its totient is φ = 12501733939200.

The previous prime is 51282697697611. The next prime is 51282697697629. The reversal of 51282697697616 is 61679679628215.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51282697697611) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2172707671 + ... + 2172731273.

It is an arithmetic number, because the mean of its divisors is an integer number (274378938624).

Almost surely, 2^{51282697697616} is an apocalyptic number.

51282697697616 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 51282697697616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87801260359680).

51282697697616 is an abundant number, since it is smaller than the sum of its proper divisors (124319823021744).

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

51282697697616 is a wasteful number, since it uses less digits than its factorization.

51282697697616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24135 (or 24129 counting only the distinct ones).

The product of its digits is 823011840, while the sum is 75.

The spelling of 51282697697616 in words is "fifty-one trillion, two hundred eighty-two billion, six hundred ninety-seven million, six hundred ninety-seven thousand, six hundred sixteen".