51122744465730 has 384 divisors, whose sum is σ = 152215752019968. Its totient is φ = 10759732236288.

The previous prime is 51122744465729. The next prime is 51122744465831. The reversal of 51122744465730 is 3756444722115.

It is a super-3 number, since 3×51122744465730³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 518789544 + ... + 518888076.

It is an arithmetic number, because the mean of its divisors is an integer number (396395187552).

Almost surely, 2^{51122744465730} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51122744465730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76107876009984).

51122744465730 is an abundant number, since it is smaller than the sum of its proper divisors (101093007554238).

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

51122744465730 is a wasteful number, since it uses less digits than its factorization.

51122744465730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98770 (or 98753 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 51.

The spelling of 51122744465730 in words is "fifty-one trillion, one hundred twenty-two billion, seven hundred forty-four million, four hundred sixty-five thousand, seven hundred thirty".