57656551680000 has 5040 divisors, whose sum is σ = 273372024465540. Its totient is φ = 12039487488000.

The previous prime is 57656551679971. The next prime is 57656551680023. The reversal of 57656551680000 is 8615565675.

57656551680000 is a `hidden beast` number, since 5 + 7 + 6 + 5 + 6 + 551 + 6 + 80 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 13477239530496 + 44179312149504 = 3671136^2 + 6646752^2 .

It is a tau number, because it is divible by the number of its divisors (5040).

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 419 ways as a sum of consecutive naturals, for example, 594397439952 + ... + 594397440048.

Almost surely, 2^{57656551680000} is an apocalyptic number.

57656551680000 is a gapful number since it is divisible by the number (50) 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 57656551680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136686012232770).

57656551680000 is an abundant number, since it is smaller than the sum of its proper divisors (215715472785540).

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

57656551680000 is an frugal number, since it uses more digits than its factorization.

57656551680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 7560000, while the sum is 54.

The spelling of 57656551680000 in words is "fifty-seven trillion, six hundred fifty-six billion, five hundred fifty-one million, six hundred eighty thousand".