51416498770560 has 6144 divisors, whose sum is σ = 261974932992000. Its totient is φ = 9481096396800.

The previous prime is 51416498770529. The next prime is 51416498770619. The reversal of 51416498770560 is 6507789461415.

51416498770560 is a `hidden beast` number, since 5 + 1 + 4 + 1 + 64 + 9 + 8 + 7 + 7 + 0 + 560 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 243680088855 + ... + 243680089065.

It is an arithmetic number, because the mean of its divisors is an integer number (42639149250).

Almost surely, 2^{51416498770560} 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 51416498770560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130987466496000).

51416498770560 is an abundant number, since it is smaller than the sum of its proper divisors (210558434221440).

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

51416498770560 is a wasteful number, since it uses less digits than its factorization.

51416498770560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 51416498770560 in words is "fifty-one trillion, four hundred sixteen billion, four hundred ninety-eight million, seven hundred seventy thousand, five hundred sixty".