51299864501760 has 1440 divisors, whose sum is σ = 214408520726400. Its totient is φ = 11294079713280.

The previous prime is 51299864501749. The next prime is 51299864501761. The reversal of 51299864501760 is 6710546899215.

51299864501760 is a `hidden beast` number, since 5 + 1 + 2 + 9 + 9 + 8 + 6 + 450 + 176 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51299864501761) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3656694426 + ... + 3656708454.

It is an arithmetic number, because the mean of its divisors is an integer number (148894806060).

Almost surely, 2^{51299864501760} 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 51299864501760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107204260363200).

51299864501760 is an abundant number, since it is smaller than the sum of its proper divisors (163108656224640).

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

51299864501760 is a wasteful number, since it uses less digits than its factorization.

51299864501760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14192 (or 14166 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 51299864501760 in words is "fifty-one trillion, two hundred ninety-nine billion, eight hundred sixty-four million, five hundred one thousand, seven hundred sixty".