51411495572760 has 192 divisors, whose sum is σ = 162797086932480. Its totient is φ = 12986750787840.

The previous prime is 51411495572729. The next prime is 51411495572791. The reversal of 51411495572760 is 6727559411415.

It is a happy number.

51411495572760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 7170181²-1.

It is an interprime number because it is at equal distance from previous prime (51411495572729) and next prime (51411495572791).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 51411495572760.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 430151169 + ... + 430270671.

It is an arithmetic number, because the mean of its divisors is an integer number (847901494440).

Almost surely, 2^{51411495572760} 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 51411495572760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81398543466240).

51411495572760 is an abundant number, since it is smaller than the sum of its proper divisors (111385591359720).

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

51411495572760 is a wasteful number, since it uses less digits than its factorization.

51411495572760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129486 (or 129463 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 57.

The spelling of 51411495572760 in words is "fifty-one trillion, four hundred eleven billion, four hundred ninety-five million, five hundred seventy-two thousand, seven hundred sixty".