51398217522120 has 256 divisors, whose sum is σ = 177513493248000. Its totient is φ = 11662117318656.

The previous prime is 51398217522103. The next prime is 51398217522137. The reversal of 51398217522120 is 2122571289315.

It is an interprime number because it is at equal distance from previous prime (51398217522103) and next prime (51398217522137).

It is a self number, because there is not a number n which added to its sum of digits gives 51398217522120.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1057704544 + ... + 1057753136.

It is an arithmetic number, because the mean of its divisors is an integer number (693412083000).

Almost surely, 2^{51398217522120} 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 51398217522120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88756746624000).

51398217522120 is an abundant number, since it is smaller than the sum of its proper divisors (126115275725880).

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

51398217522120 is a wasteful number, since it uses less digits than its factorization.

51398217522120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57812 (or 57808 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 48.

The spelling of 51398217522120 in words is "fifty-one trillion, three hundred ninety-eight billion, two hundred seventeen million, five hundred twenty-two thousand, one hundred twenty".