55401804057600 has 9504 divisors, whose sum is σ = 297279064922112. Its totient is φ = 10032906240000.

The previous prime is 55401804057553. The next prime is 55401804057703. The reversal of 55401804057600 is 675040810455.

55401804057600 is a `hidden beast` number, since 5 + 5 + 4 + 0 + 180 + 405 + 7 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (9504).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 1351263513580 + ... + 1351263513620.

Almost surely, 2^{55401804057600} is an apocalyptic number.

55401804057600 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 55401804057600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148639532461056).

55401804057600 is an abundant number, since it is smaller than the sum of its proper divisors (241877260864512).

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

55401804057600 is a wasteful number, since it uses less digits than its factorization.

55401804057600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 55401804057600 in words is "fifty-five trillion, four hundred one billion, eight hundred four million, fifty-seven thousand, six hundred".