55464413921280 has 2496 divisors, whose sum is σ = 250134438094380. Its totient is φ = 11702381838336.

The previous prime is 55464413921263. The next prime is 55464413921303. The reversal of 55464413921280 is 8212931446455.

55464413921280 is a `hidden beast` number, since 5 + 5 + 4 + 6 + 4 + 413 + 9 + 212 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 51624569880576 + 3839844040704 = 7185024^2 + 1959552^2 .

It is a tau number, because it is divible by the number of its divisors (2496).

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 155 ways as a sum of consecutive naturals, for example, 4266493378554 + ... + 4266493378566.

Almost surely, 2^{55464413921280} 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 55464413921280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125067219047190).

55464413921280 is an abundant number, since it is smaller than the sum of its proper divisors (194670024173100).

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

55464413921280 is an frugal number, since it uses more digits than its factorization.

55464413921280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 55464413921280 in words is "fifty-five trillion, four hundred sixty-four billion, four hundred thirteen million, nine hundred twenty-one thousand, two hundred eighty".