5655742276800 has 672 divisors, whose sum is σ = 23451208026624. Its totient is φ = 1159114752000.

The previous prime is 5655742276729. The next prime is 5655742276871. The reversal of 5655742276800 is 86722475565.

It is an interprime number because it is at equal distance from previous prime (5655742276729) and next prime (5655742276871).

It is a tau number, because it is divible by the number of its divisors (672).

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, 26875990 + ... + 27085610.

It is an arithmetic number, because the mean of its divisors is an integer number (34897630992).

Almost surely, 2^{5655742276800} is an apocalyptic number.

5655742276800 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 5655742276800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11725604013312).

5655742276800 is an abundant number, since it is smaller than the sum of its proper divisors (17795465749824).

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

5655742276800 is a wasteful number, since it uses less digits than its factorization.

5655742276800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209737 (or 209722 counting only the distinct ones).

The product of its (nonzero) digits is 28224000, while the sum is 57.

The spelling of 5655742276800 in words is "five trillion, six hundred fifty-five billion, seven hundred forty-two million, two hundred seventy-six thousand, eight hundred".