51453345240 has 384 divisors, whose sum is σ = 187659763200. Its totient is φ = 12118272000.

The previous prime is 51453345221. The next prime is 51453345301. The reversal of 51453345240 is 4254335415.

51453345240 is a `hidden beast` number, since 51 + 4 + 53 + 34 + 524 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 51453345195 and 51453345204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50493451 + ... + 50494469.

It is an arithmetic number, because the mean of its divisors is an integer number (488697300).

Almost surely, 2^51453345240 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 51453345240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93829881600).

51453345240 is an abundant number, since it is smaller than the sum of its proper divisors (136206417960).

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

51453345240 is a wasteful number, since it uses less digits than its factorization.

51453345240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1399 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

It can be divided in two parts, 51453 and 345240, that added together give a palindrome (396693).

The spelling of 51453345240 in words is "fifty-one billion, four hundred fifty-three million, three hundred forty-five thousand, two hundred forty".