51456042602496 has 2080 divisors, whose sum is σ = 187553088307200. Its totient is φ = 13750814638080.

The previous prime is 51456042602369. The next prime is 51456042602509. The reversal of 51456042602496 is 69420624065415.

51456042602496 is a `hidden beast` number, since 5 + 1 + 4 + 5 + 604 + 2 + 6 + 0 + 24 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 472073785290 + ... + 472073785398.

Almost surely, 2^{51456042602496} is an apocalyptic number.

51456042602496 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51456042602496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93776544153600).

51456042602496 is an abundant number, since it is smaller than the sum of its proper divisors (136097045704704).

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

51456042602496 is a wasteful number, since it uses less digits than its factorization.

51456042602496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 51456042602496 in words is "fifty-one trillion, four hundred fifty-six billion, forty-two million, six hundred two thousand, four hundred ninety-six".