56494133337600 has 480 divisors, whose sum is σ = 236983932176640. Its totient is φ = 12912944209920.

The previous prime is 56494133337589. The next prime is 56494133337611. The reversal of 56494133337600 is 673333149465.

56494133337600 is a `hidden beast` number, since 56 + 4 + 94 + 133 + 3 + 376 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56494133337589) and next prime (56494133337611).

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9257002 + ... + 14095401.

It is an arithmetic number, because the mean of its divisors is an integer number (493716525368).

Almost surely, 2^{56494133337600} is an apocalyptic number.

56494133337600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56494133337600 is an abundant number, since it is smaller than the sum of its proper divisors (180489798839040).

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

56494133337600 is a wasteful number, since it uses less digits than its factorization.

56494133337600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23352447 (or 23352420 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 54.

The spelling of 56494133337600 in words is "fifty-six trillion, four hundred ninety-four billion, one hundred thirty-three million, three hundred thirty-seven thousand, six hundred".