51101606651160 has 256 divisors, whose sum is σ = 168294142195200. Its totient is φ = 12337228689408.

The previous prime is 51101606651153. The next prime is 51101606651171. The reversal of 51101606651160 is 6115660610115.

It is a super-2 number, since 2×51101606651160² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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, 19131079 + ... + 21637961.

It is an arithmetic number, because the mean of its divisors is an integer number (657398992950).

Almost surely, 2^{51101606651160} 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 51101606651160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84147071097600).

51101606651160 is an abundant number, since it is smaller than the sum of its proper divisors (117192535544040).

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

51101606651160 is a wasteful number, since it uses less digits than its factorization.

51101606651160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2507162 (or 2507158 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 39.

The spelling of 51101606651160 in words is "fifty-one trillion, one hundred one billion, six hundred six million, six hundred fifty-one thousand, one hundred sixty".