55689589960704 has 1716 divisors, whose sum is σ = 201143824068864. Its totient is φ = 15359376162816.

The previous prime is 55689589960661. The next prime is 55689589960709. The reversal of 55689589960704 is 40706998598655.

55689589960704 is a `hidden beast` number, since 556 + 8 + 9 + 58 + 9 + 9 + 6 + 0 + 7 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (55689589960709) by changing a digit.

It is a polite number, since it can be written in 131 ways as a sum of consecutive naturals, for example, 438500708289 + ... + 438500708415.

Almost surely, 2^{55689589960704} is an apocalyptic number.

55689589960704 is a gapful number since it is divisible by the number (54) 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 55689589960704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100571912034432).

55689589960704 is an abundant number, since it is smaller than the sum of its proper divisors (145454234108160).

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

55689589960704 is an frugal number, since it uses more digits than its factorization.

55689589960704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 5878656000, while the sum is 81.

The spelling of 55689589960704 in words is "fifty-five trillion, six hundred eighty-nine billion, five hundred eighty-nine million, nine hundred sixty thousand, seven hundred four".