51453660756456 has 128 divisors (see below), whose sum is σ = 163669698662400. Its totient is φ = 14671818982080.

The previous prime is 51453660756419. The next prime is 51453660756457. The reversal of 51453660756456 is 65465706635415.

51453660756456 is a `hidden beast` number, since 5 + 1 + 4 + 5 + 3 + 6 + 60 + 7 + 564 + 5 + 6 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 51453660756393 and 51453660756402.

It is not an unprimeable number, because it can be changed into a prime (51453660756457) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33066700 + ... + 34587771.

It is an arithmetic number, because the mean of its divisors is an integer number (1278669520800).

Almost surely, 2^{51453660756456} is an apocalyptic number.

51453660756456 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

51453660756456 is an abundant number, since it is smaller than the sum of its proper divisors (112216037905944).

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

51453660756456 is a wasteful number, since it uses less digits than its factorization.

51453660756456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67654996 (or 67654986 counting only the distinct ones).

The product of its (nonzero) digits is 272160000, while the sum is 63.

The spelling of 51453660756456 in words is "fifty-one trillion, four hundred fifty-three billion, six hundred sixty million, seven hundred fifty-six thousand, four hundred fifty-six".