55966451143680 has 3564 divisors, whose sum is σ = 258394895344404. Its totient is φ = 11588006707200.

The previous prime is 55966451143637. The next prime is 55966451143717. The reversal of 55966451143680 is 8634115466955.

55966451143680 is a `hidden beast` number, since 5 + 5 + 9 + 6 + 6 + 4 + 511 + 4 + 36 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29038820557824 + 26927630585856 = 5388768^2 + 5189184^2 .

It is a tau number, because it is divible by the number of its divisors (3564).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 199168865140 + ... + 199168865420.

Almost surely, 2^{55966451143680} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55966451143680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129197447672202).

55966451143680 is an abundant number, since it is smaller than the sum of its proper divisors (202428444200724).

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

55966451143680 is an equidigital number, since it uses as much as digits as its factorization.

55966451143680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 93312000, while the sum is 63.

The spelling of 55966451143680 in words is "fifty-five trillion, nine hundred sixty-six billion, four hundred fifty-one million, one hundred forty-three thousand, six hundred eighty".