51465653460 has 144 divisors (see below), whose sum is σ = 178010750736. Its totient is φ = 11923255296.

The previous prime is 51465653417. The next prime is 51465653467. The reversal of 51465653460 is 6435656415.

51465653460 is a `hidden beast` number, since 5 + 1 + 4 + 6 + 56 + 534 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1510721424 + 49954932036 = 38868^2 + 223506^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51465653467) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 607099 + ... + 686658.

It is an arithmetic number, because the mean of its divisors is an integer number (1236185769).

Almost surely, 2^51465653460 is an apocalyptic number.

It is an amenable number.

51465653460 is an abundant number, since it is smaller than the sum of its proper divisors (126545097276).

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

51465653460 is a wasteful number, since it uses less digits than its factorization.

51465653460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293802 (or 1293797 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 51465653460 in words is "fifty-one billion, four hundred sixty-five million, six hundred fifty-three thousand, four hundred sixty".